Answer:
Area = 45 m²
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.