A parallelogram and a square have the same area. If the sides of the square measure 40 m and altitutde of the parallelogram measures 25 m, find the length of the corresponding base of the parallelogram.

Open in App

Solution

Let the base of parallelogram be a m

According to question,

Area of parallelogram = Area of square

=> Base × Height = $S i d e^{2}$

=> a × 25 = 40 × 40

=> a = 8 × 8

=> a = 64

Base of parallelogram = 64 m

Suggest Corrections

Similar questions

Q. A parallelogram and a square have the same area. If the sides of the square measure 40 m, and altitude of the parallelogram measures 25 m, find the length of the corresponding base of the parallelogram.

Q. A square and a parallelogram have the same area. If a side of the square is

40 m

and the height of the parallelogram is

20 m

, find the base of the parallelogram.

A parallelogram and a rhombus are equal in area. The diagonals of the rhombus measure 120 m and 44 m. If one of the sides of the parallelogram measures 66 m, find its corresponding altitutde.

Q. The area of parallelogram and square are same, If perimeter of square is

160

m and height of parallelogram is

20

m, find the length of corresponding base of parallelogram.

Area of a parallelogram is $625 m^{2}$ . Find the length of sides of parallelogram if altitude corresponding two sides are $20 m$ and $25 m$ .

Join BYJU'S Learning Program

A parallelogram and a square have the same area. If the sides of the square measure 40 m and altitutde of the parallelogram measures 25 m, find the length of the corresponding base of the parallelogram.

Let the base of parallelogram be a m According to question, Area of parallelogram = Area of square => Base × Height = Side2 => a × 25 = 40 × 40 => a = 8 × 8 => a = 64 Base of parallelogram = 64 m

Let the base of parallelogram be a m

According to question,

Area of parallelogram = Area of square

=> Base × Height = $S i d e^{2}$

=> a × 25 = 40 × 40

=> a = 8 × 8

=> a = 64

Base of parallelogram = 64 m