Answer:
E. The area of the rectangle is 337.5 square metres
Step-by-step explanation:
Given
Shape: Rectangle
Perimeter = 75 m
Length = 1.5 * Width
Required:
Area of the rectangle
First, the value of the length and the width of the rectangle need to be calculated.
Let L and W represent the length and width of the rectangle, respectively.
Hence,
Length = 1.5 * Width can be represented by
L = 1.5 * W
L = 1.5W
Also, let P and A represent the perimeter and area of the rectangle.
Using the formula of perimeter; we have
P = 2(L + W)
By substituting 1.5W for L and 75 for P, the equation becomes
75 = 2(1.5W + W)
75 = 2(2.5W)
Open bracket
75 = 5W
Divide through by 5
15 = W.
Recall that L = 1.5W
So, L = 1.5 * 15
L = 22.5
Since L and W represent the length width of the rectangle,
Then
Length = 22.5m and Width = 15m
Area of a rectangle is calculated by multiplying its length by its width.
So,
Area = 22.5m * 15m
Area = 337.5 m²
Hence, the area of the rectangle is 337.5 square metres
