Question

The area of a square and arec tangleare equal. If the side of the squareis 40 cm and the  breadth of the rectangle is 25 cm, find the length of the rectangle. Also, find the  perimeter of the rectangle.​

Answer 1

According to the question,

Area of square = Area of rectangle.

Given,

Side of square = 40cm

Breadth of rectangle = 25cm

Aim : To find the length of the rectangle

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Side of square = 40cm

Area of square = side × side = (side)²

Area = 40 × 40 = (40)²

Area = 1600cm²

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Area of rectangle = 1600cm² (given that area of square is equal to the area of the rectangle)

Breadth = 25cm

Length = ?

Area of rectangle = Length × Breadth.

Let the length be x

x × 25 = 1600

$x = \frac{1600}{25}$

x = 64

Hence length = 64cm.

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Length = 64cm

Breadth = 25cm

Perimeter of rectangle = 2(length+breadth)

Perimeter = 2(64+25)

= 2(89)

Perimeter = 178cm.

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Some more formulas :

Area of parallelogram = base × height

Perimeter of parallelogram = 2(base+height)

Area of triangle = 1/2 × base × height

Perimeter = Sum of sides

Area of rhombus = 1/2 × diagonal 1 × diagonal 2

Perimeter of rhombus = 4 × side