Respuesta :

Answer:

Area  = 45 m²

Step-by-step explanation:

We have given that

The length of the rectangle is 4m longer than its width.

Let l be the length and w be the width.

w = l+4

The perimeter is 28m

Perimeter = P= 28

The formula for perimeter is:

P = 2l+2w

28 = 2l+2(l+4)

28 = 2l+2l+8

28-8 = 4l

20 = 4l

l = 5 m

hence, w = 5m+4m

w = 9 m

The formula to calculate area of rectangle is:

Area = A  = Length × width

Area  = 5 × 9

Area  = 45 m² which is the answer.