Question

the length of a rectangle exeeds its breadth by 3m and the area of the rectangle is 240 m^2find the dimensions​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Let the length of the rectangle be l.

The breadth of the rectangle will be :

(l - 3)

The area of the rectangle will be given by:

Area = Length × Width

Doing the substitution we have:

Area = l(l - 3)

= l² - 3l

Since we are given the area in question we can equate the two as follows:

l² - 3l = 240

Forming a quadratic equation we have:

l² - 3l - 240 = 0

Solving for l  we have:

We use quadratic formula we have:

l = {-(-3) +/- √(-3)² -(4 × -240)}/2

l = {3 +/- (31.13)}/2

l = 33.13/2 or -28.13/2

l = 16.565 m or -14.065 m

We take the positive value.

The length = 16.565m

Width = 16.565 - 3 = 13.565 m