Question

The length of a rectangle is three mes is bread
1875 sq om, find its perimeter​

Answer 1

Correct Question:-

The length of a rectangle is three times it's breadth. If the area of the rectangle is 1875 m² , find its perimeter.

Answer:-

Let the breadth of the rectangle be x m.

Given:

Length is three times the breadth = 3 * x = 3x m.

And,

Area of the rectangle = 1875 m²

We know that,

Area of a rectangle = length * breadth.

Hence,

→ 1875 = (3x) * (x)

→ 1875 = 3x²

→ 1875/3 = x²

→ 625 = x²

→ √625 = x

→ 25 m = x

→ Breadth of the rectangle (x) = 25 m

→ Length of the rectangle (3x) = 3*25 = 75 m.

We know,

Perimeter of a rectangle = 2(length + breadth)

→ Perimeter of the rectangle = 2(75 + 25)

→ Perimeter of the rectangle = 2(100)

→ Perimeter of the rectangle = 200 m

Therefore, the perimeter of the rectangle is 200 m.