Area

Q.

In the given figure, OPQR is a rhombus three of whose vertices on the circle with centre at O. If the area of the rhombus be $32\sqrt{3}$sq-cm, find the radius of the circle.

1. 10

2. 9

3. 8

4. 7

Q. Area of a rhombus with two diagonals d1 and d2 is given by

1. 1/2 x d1 x d2
2. 1/2 x (d2 + d2)
3. d1 x d2
4. 1/3 x (d2 + d2)

Q.

if a box has a length 80cm , breadth 40cm and height 20cm respectively.How many square sheets of paper of side 40cm would be required to cover it?

Q.

Question 3

Find the missing values:

$$\begin{array}{cccc}S.No.& Base& Height& Areaoftheparallelogram\\ a.& 20cm& & 246c{m}^2\\ b.& & 15cm& 154.5c{m}^2\\ c.& & 8.4cm& 48.72c{m}^2\\ d.& 15.6cm& & 16.38c{m}^2\end{array}$$

Q. Question 6
Write True or False and justify your answer:

The base and the corresponding altitude of a parallelogram are 10cm and 3.5cm, respectively. The area of the parallelogram is 30 $c{m}^2$.

Q. Question 3
The area of a trapezium is 475 $c{m}^2$ and the height is 19cm. Find the lengths of its two parallel sides, of one side is 4cm greater than the other.

Q.

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

1. 28 cm${}^2$

2. 30 cm${}^2$

3. 18 cm${}^2$

4. 24 cm${}^2$

Q.

Find the area of the region in red colour.

1. $20c{m}^2$
2. $15c{m}^2$
3. $5c{m}^2$
4. $35c{m}^2$

Q.

Question 6
An umbrella is made by stitching 10 triangular pieces of cloth of two different colours (see the given figure), each piece measuring 20cm, 50cm and 50cm.How much cloth of each colour is required for the umbrella?

Q.

Find the area of the parallelogram in which, $AE=4cm$ and $CD=8cm$.

1. $16c{m}^2$

2. $32c{m}^2$

3. $64c{m}^2$

4. $128c{m}^2$

Q.

Squares each of side 6 cm are cut-off from the four corners of a sheet of tin measuring 42 cm × 30cm.The remaining portion of tin sheet is made into an open box by folding up the flaps. Find the capacity of the box.

Q. A dance floor has to be built as a triangular glass platform with the dimensions 7 m, 8 m and 9 m. The total surface area of the glass required to build such a platform is equal to ________ $\sqrt{5}{m}^2$.

1. 12

Q.

A surface is that which has length and breadth only.

1. False
2. True

Q.

Question 119 (ii)

A square tile of length 20 cm has four quarter circles at each corner as shown in the figure. Another tile with same dimensions has a circle in the centre of the tile as shown in the figure.
If the circle touches all the four sides of the square tile, find the area of the shaded portion. In which tile, the area of the shaded portion will be more? $(Take,\pi =3.14)$

Q. Question 2
The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13m, 14m and 15m. the advertisements yield an earning of Rs.2000 per $m^2$ a year. A company hired one of its walls for 6 mnoths. How much rent did it pay?

Q.

Is it possible for the same:

• line segment to have two different lengths?

Q.

The area of a trapezium whose sum of parallel sides is 25 cm and height 8 cm is ____ sq cm.

1. 100

2. 200

3. 150

4. 260

Q. Question 3
There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN”. If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.

Q. 37 In quadrilateral ABCD, diagonals AC and BD intersect at O such that OA = OC .Ratio of areas of Δ ABD and Δ BCD will be

Q.

Statement 1: If two figures A and B are congruent, then they must have equal area.

Statement 2: If two figures A and B have equal area, then they must be congruent.

1. Statement 1 is incorrect and statement 2 is correct
2. Statement 1 is correct but statement 2 is incorrect
3. Both the statements are correct
4. Both the statements are incorrect

Q. A park in the shape of a quadrilateral $ABCD$, has $\angle C={90}^{\circ },AB=9m,BC=12m,CD=5m,AD=8m$. How much area does it occupy?

Q.

Two adjacent sides of a parallelogram are 12 cm and 8 cm. If the height corresponding to the side 12 cm is 5 cm. Find the height corresponding to the other side.

1. 7.5 cm

2. 8.5 cm

3. 5 cm

4. 6.5 cm

Q.

The ratio of the area of a smaller circle to the bigger circle is 1 : 4 . Find $\frac{\text{radius of smaller circle}}{\text{radius of bigger circle}}$.

1. 1

2. $\frac{1}{4}$

3. $\frac{1}{2}$

4. $\frac{1}{8}$

Q. 28.If the perimeter of a semicircle is 108cm.What is the area of the semicircle

Q.

Match the two columns for the figure shown below.

$\begin{array}{cc}\text{Column - I}& \text{Column - II}\\ \text{(A) Area of}\square DABC& \text{(p) 41}\\ \text{(B) Area of}\Delta ADC& \text{(q) 126}\\ \text{(C) Area of}\Delta ABC& \text{(r) 306}\\ \text{(D) AC}& \text{(s) 180}\end{array}$

Q.

A pond is in the shape of a trapezium. A bridge is to be constructed such that the bridge is perpendicular to the parallel sides. It is given that the area of a pond is 1080 $m^2$ and the lengths of its parallel sides are 55.6 m and 34.4 m. Find the length of the bridge.

1. 24 m
2. 48 m
3. 56 m
4. 12 m

Q. Hameed has built a cubical water tank with lid for his house, with each other edge 1.5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm. Find how much he would spend for his tiles, if the cost of tiles is Rs 360 per dozen.

Q. The ratio of the area of a smaller circle to the bigger circle is 1:4. Find the ratio of radius of smaller circle to the bigger circle.

Q. 43 the perimeter of a semicircle is 364m then the area of the circle is

Q.

The triangular side walls of a flyover have been used for advertisements. The sides of the walls are$13\mathrm{m},14\mathrm{m},15\mathrm{m}.$ The advertisements yield an earning of$₹2000\mathrm{per}{\mathrm{m}}^2$ a year. A company hired one of its walls for$6$ months. How much rent did it pay?