Question

the measures of two adjacent sides of a rectangle are in the ratio 11 : 10. if the area is 3960m, then find its length and breadth

Answer 1

We know that length is length is always greater than breadth so,

Let us assume the length to be 11x and breadth to be 10x .

Now we also know that area of a rectangle is the product of its length and it's breadth.

So,

Area of rectangle = 11x * 10x
Area of rectangle = 110x ^ 2

But,

Area of rectangle = 3960 sq. m

Therefore,

132 x ^ 2 = 3960 sq. m
x ^ 2 = 3960 / 110
x ^ 2 = 36
x = √ 36 m = 6 m

Now,

Length of the rectangle = 11x = 11 * 6 = 66 m
Breadth of the rectangle = 10x = 10 * 6 = 60 m