Question

The ratio of the length to the breadth of a rectangle is 7:3. Find its dimensions, given that its perimeter is 60 m. Also, find its area.​

Answer 1

Answer:

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Given:

Ratio of length to breadth = 7:3

Let length be 7x

Let breadth be 3x

Perimeter = 60 m

$\small\red{Perimeter\:=2×(\:length\:×\: breadth)}$

60 m = 2×(7x +3x)

60 = 2×10x

60 = 20x

x = 60/20

x = 3

Therefore , length = 7x = 7×3 = 21m

breadth = 3x = 3×3 = 9m

Area = 21×9

= 189 m²

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Answer 2

★ Given:

Ratio of length and breadth of rectangle = 7:3

Perimeter = 60 m

★ To Find:

The length and breadth of the rectangle.

The area of the rectangle.

★ Analysis

In this question we will first find the dimensions from the ratios provided. Then, by multiplying these values, we will get the area.

★ Solution:

Let the length and breadth of the rectangle be 7x and 3x respectively.

Perimeter of a rectangle = 2 (l + b)

Substituting the values:

2 (7x +3x) = 60 m

14x + 6x = 60 m

20x = 60

x = 60/20

x = 3

Therefore,

Length of the rectangle = 7 x 3 = 21 m

Breadth of the rectangle = 3 x 3 = 9 m

Area of a rectangle = lb

= 21 x 9 = 189 m²

Final Answers:

→ Length of the rectangle = 21 m

→ Breadth of the rectangle = 9 m

→ Area of the rectangle = 189 m²