Question

the perimeter of a rectangle is 30m and the ratio between length and breadth is 7:3 . find the area of the rectangle
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Answer 1

Answer:

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Answer 2

⛦ Given :

• Perimeter of rectangle = 30m
• The Length and breadth of rectangle are in ratio 7:3

⛦ To find :

• The area of the rectangle.

⛦ Solution :

As it is given that the ratio between length and Breadth is 7 : 3

• Thus, let's assume the length as 7x

• Breadth as 3x

We know that ,

★ Perimeter of rectangle = 2( l + b )

A/Q

⇛ 30 = 2 (7x + 3x)

⇛ 30 = 2 × 10x

⇛ 30 = 20x

⇛ 30/20 = x

⇛ x = 3/2

⇛ x = 1.5

So,

• Length of rectangle = 7x = 7×1.5 = 10.5m
• Breadth of rectangle = 3x = 3×1.5 = 4.5m

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Now, finding the area of rectangle.

We know that,

★ Area of rectangle = length × breadth

Area of rectangle = 10.5 × 4.5

Area of rectangle = 47.25m²

Therefore,

The area of the rectangle is 47.25m².