Area of a Parallelogram

Q.

If $a$ and $b$ represents the adjacent sides of a parallelogram whose area is $15$ units, then the area of the parallelogram whose adjacent sides are $3a+2b$ and $a+3b$ is?

1. $45$ units

2. $75$ units

3. $105$ units

4. $165$ units

Q.

What is the ratio of the area of parallelogram ABCD to the sum of areas of $\Delta ABEand\Delta ABF?$

1. 1:2

2. 1:1

3. 2:1

4. 1:3

Q. The base of parallelogram is twice its height. If the area is $512c{m}^2$, find the base and the height.

Q.

In a parallelogram ABCD, the diagonal AC measures 34 m and the perpendicular distance of AC from both the vertices B and D is 12 m. Find the area of the parallelogram.

1. 204 sq. m

2. 408 sq. m

3. 816 sq. m

4. 806 sq. m

Q. ABCD is parallelogram, find its base if area is $40c{m}^2$ and height is $8cm$

Q. Find the missing values:

S.No.	Base	Height	Area pf the parallelogram
$a.$	$20cm$		$246c{m}^2$
$b.$		$15cm$	$154.5c{m}^2$
$c.$		$8.4cm$	$48.72c{m}^2$
$d.$	$15.6cm$		$16.38c{m}^2$

Q. A block of mass of a 2 kg with dimensions $5cm\times 20cm\times 10cm$ respectively. The ratio of maximum to minimum pressure it exerts on the change in orientation is :

1. 1 : 1
2. 1 : 2
3. 1 : 4
4. 4 : 1

Q. The figure shows three squares with sides of length $5,7,$ and $x$, respectively. If $A,B$ and $C$ lie on line $l$, what is the value of $x$?

1. 9
2. 9.6
3. 9.2
4. 9.8

Q. The ratio of two adjacent sides of a parallelogram is $2:3$ and its perimeter is $50cm$. Find its area if altitude corresponding to large side is $10cm$.

Q. If the area of the parallelogram is 90 sq. cm, find its base.

1. 45 cm
2. 4.5 cm
3. 5.5 cm
4. 4.2 cm

Q. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

1. $40$
2. $50$
3. $120$
4. Data inadequate
5. None of these

Q. One side of a parallelogram is $14cm$. Its distance from the opposite side is $16.5cm$. Find the area of parallelogram.

Q. The ratio of two adjacent sides of a parallelogram is $3:4$ Its perimeter is $105$ cm Find its area if altitude corresponding to the larger is $15$ cm

1. $900$ $c{m}^2$
2. $600$ $c{m}^2$
3. $300$ $c{m}^2$
4. $450$ $c{m}^2$

Q. The perimeter of a parallelogram is $60cm$ and the ratio of its adjacent sides is $3:2$. If the altitude corresponding to larger side of the parallelogram is $5cm$. Find the area of the parallelogram and the altitude corresponding to the smaller side.