Question

The perimeter of rectangle is 240 m and its length and breadth are in the ratio 5:3 .find its area.

Answer 1

Ratio of length and breadth of the rectangle is 5 : 3

Let the common multiple be x

So, let the length be 5x and breadth be 3x

Perimeter is 240m

We know that,

Perimeter of a rectangle = 2(length + breadth)


According to the given condition,

2(length + breadth) = Perimeter

∴ 2(5x + 3x) = 240

∴ 2(8x) = 240

∴ 16x = 240

∴ x = 15


∴ Length of the rectangle ➾ 5x

➾ 5 × 15

➾ $\boxed{\boxed{\tt{75\:m}}}$


∴ Breadth of the rectangle ➾ 3x

➾ 3 × 15

➾ $\boxed{\boxed{\tt{45\:m}}}$


Area of rectangle = length × breadth

➾ 75m × 45m

➾ $\boxed{\boxed{\boxed{\boxed{\tt{3375\:m^2}}}}}$

Answer 2

Question :

The perimeter of rectangle is 240 m and its length and breadth are in the ratio 5:3 .find its area.

Solution :

Perimeter = 240 m

Length : Breadth = 5:3

Perimeter = 2(Length+Breadth)

Area = Length × Breadth

For Full Solution Refer To The Above Attachment