Area of Parallelogram

Q.

An isosceles right triangle has an area of $8\mathrm{square}\mathrm{cm}$. The length of its hypotenuse is

Q.

The area of a parallelogram is $60c{m}^2$ and one of its altitude is 5 cm. The length of its corresponding side is ___.

1. 12 cm

2. 4 cm

3. 6 cm

4. 24 cm

Q.

$DL$ and $BM$ are the heights on sides $AB$ and $AD$ respectively of parallelogram ABCD. If the area of the parallelogram is $1470{cm}^2$, $AB=35cm$ and $AD=49cm$, find the length of $BM$ and $DL$

Q. What is the area of a parallelogram that has a base of 12 cm and corresponding height of 8 cm?

1. $48c{m}^2$
2. $72c{m}^2$
3. $96c{m}^2$
4. $192c{m}^2$

Q. A verandhv is 40 m long 15m broad.it is to be paved with stones each measuring 6dm by 5dm.Find the number of stones requires

Q.

How to find the volume of tetrahedron

Q. The base and corresponding altitude of a parallelogram are 10 cm and 12 cm respectively. If the other altitude is 8 cm, find the length of the other pair of parallel sides.

Q.

A parallelogram having base 10 cm and height 8 cm is cut along its diagonal into two portions. What is the area of each portion?

1. $20c{m}^2$
2. $40c{m}^2$
3. $60c{m}^2$
4. $80c{m}^2$

Q. $\text{In parallelogram}ABCD,AP\text{and}CQ\text{are perpendicular to diagonal}BD.$
$\text{It can be proved that:}$
$\text{Statement 1:}\Delta APB\cong \Delta CQD,$
$\text{Statement 2: RHS congruence is applied}$

1. Both statements are false
2. Statement 1 is correct but 2 is false
3. Statement 1 is false but 2 is correct
4. Both statements are correct

Q. The ratio of the base and corresponding height of a parallelogram is 4 : 3. If the area of the parallelogram is 48 $m^2$, find the measurement of its base and height.

1. 12 m, 10m
2. 8 m, 4m
3. 10 m, 6m
4. 8 m, 6m

Q.

An isosceles right triangle has an area of $8{\mathrm{cm}}^2$. The length of its hypotenuse is

1. $\sqrt{32}\mathrm{cm}$

2. $\sqrt{16}\mathrm{cm}$

3. $\sqrt{48}\mathrm{cm}$

4. $\sqrt{24}\mathrm{cm}$

Q.

What is the area of the parallelogram whose base is 6 cm and height is 4 cm ?

1. 10 cm${}^2$

2. 12 cm${}^2$

3. 20 cm${}^2$

4. 24 cm${}^2$

Q.

Find the area of triangle whose base is $8\mathrm{cm}$ and height is $3.5\mathrm{cm}$. Find the area of triangle.

Q.

A mat in the shape of a parallelogram has a height of 4 cm and a base of 3 cm. How much would it cost to cover a parallelogram shaped hall with an area of 180 sq. cm with mats, if each mat costs Rs.7?

1. Rs. 105

2. Rs. 115

3. Rs. 135

4. Rs. 95

Q. FInd the area of figure ABCDE.

1. 25 cm²
2. 16 cm²
3. 15 cm²
4. 24 cm²

Q. The area of the parallelogram with base and corresponding height equal to 15 cm and 14 cm respectively is equal to

1. 120$c{m}^2$
2. 160$c{m}^2$
3. 140$c{m}^2$
4. 180$c{m}^2$

Q.

A rectangle of area $48c{m}^2$ is divided into two congruent triangles across its diagonal. Find the sum of the areas of both the triangles.

1. $24c{m}^2$

2. $28c{m}^2$

3. $30c{m}^2$

4. $48c{m}^2$

Q. DL and BM are altitudes on sides AB and AD respectively of the parallelogram ABCD. If the area of the parallelogram is 1470 ${cm}^2$, AB = 35 cm and AD = 49 cm, find the length of BM and DL.

1. 72 cm , 56 cm
2. 42 cm, 30 cm
3. 56 cm, 72 cm
4. 30 cm, 42 cm

Q.

The longer side of a parallelogram is 81 cm and the corresponding altitude is 16 cm. If the length of the shorter side is 24 cm, what is the altitude corresponding to the shorter side?

1. 36 cm
2. 48 cm
3. 68 cm
4. 54 cm

Q.

Find the base length of a parallelogram, if the area is 24 m${}^2$ and the corresponding height is 8 m.

1. 3

2. 4
3. 5
4. 1

Q. The area of the parallelogram with a base and corresponding height equal to 16 cm and 22 cm respectively is equal to

1. 82$c{m}^2$
2. 72$c{m}^2$
3. 96$c{m}^2$
4. 64$c{m}^2$

Q. Area of a parallelogram is ____________ .

1. side x side
2. base x height
3. $\frac{height}{base}$
4. $\frac{1}{2}$ x base x height

Q.

A parallelogram-shaped hall has an area of 180 $c{m}^2$. It is tiled with parallelogram-shaped tiles of base of 3 cm and height 4 cm. If each tile costs ₹7, then cost of tiling the hall is ___.

1. ₹115

2. ₹105

3. ₹125

4. ₹110

Q.

A flooring tile has the shape of a parallelogram with base 24 cm and the corresponding height as 10 cm. The number of such tiles required to cover a floor of area 1080 $m^2$ are_____

1. 44000
2. 45000
3. 54000
4. 34000

Q.

Question 5 (b)

PQRS is a parallelogram QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm Find QN, if PS = 8 cm

Q.

Find the base length of a parallelogram if the area is 24 $m^2$ and the corresponding height is 8 m.

1. 1
2. 5

3. 3

4. 4

Q.

Andy spent Rs. 450 in fencing the parallelogram shaped land (leaving 0.5 m for the gate) that he had before. If Andy would start from a point 5 m away from A (on side AB) and take the shortest possible path to the opposite side, he would reach exactly at D. As you know Land Grabbers restructured Andy’s land to be a rectangle having the same base and same width. Find the cost of fencing the new land in the same way at Rs. 6 /m.

1. Rs. 437.47

2. Rs. 444

3. Rs. 431.47

4. Rs. 438

Q.

In the given figure, ABCD is a parallelogram and PD is parallel to QC.

S1 : $△$APD $\cong$ $△$BQC

S2 : area($△$APD) + area(PBCD) = area($△$BQC) + area(CDPB)

1. S1 and S2 are both true and S1 is the explanation for S2

2. S1 is true but S2 is false

3. Both S1 and S2 are false

4. S1 is false but S2 is true

Q.

PQRS is a parallelogram QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find QN, if PS = 8 cm

Q.

[Two friends discussing over a 2-dimensional figure]

Arjun: The length of rope required to surround it (the figure) exactly, no more no less, is called its area.

Shubh: The amount of cloth required to cover it exactly, no more no less, is called its area.

Pick the correct option.

1. Arjun and Shubh both mean the same thing

2. Arjun is right and Shubh is wrong

3. Arjun is wrong and Shubh is right

4. Both of them are wrong