Answer:
Length = 80 metres and Width = 60 metres.
Step-by-step explanation:
Given
Length = 90m
Width = 50m
Required
Dimension of another rectangle with the same perimeter but larger area;
Perimeter of a rectangle is calculated as thus;
Substitute: Length = 90m and Width = 50m
Area of a rectangle is calculated as thus;
Substitute: Length = 90m and Width = 50m
So, the implication of this question is to get a rectangle whose perimeter is 280m and area is greater that 4500m²
Using trial by error method;
Assume length of a rectangle is 80m;
This means the width must be 60m
Calculating the perimeter
Calculating the area
Since, the area of this rectangle is greater than the area of the previous rectangle. we can adopt this dimension.
Length = 80 metres and Width = 60 metres.
Note: There are other dimensions that have higher area and exact perimeter as the given rectangle in the question;