Question

A rectangular park is 75 yards wide and 115 yards long.

Give the length and width of another rectangular park that has the same perimeter but a larger area
HELP DUE AT ONE

Answer 1

74 yards wide and 116 yards long

Answer 2

Explanation:

Remark

Later on, in a not so distant future, you will learn that the maximum area of a rectangle can be obtained when you are dealing with a square.

So to get the maximum area, change the rectangle into a square. Leave the perimeter the same.

Formulas

Perimeter = 2L + 2W

Perimeter = 4*s for a square

Area = s^2

Givens

L = 115

P = 75

Solution

P = 2 * 115 + 2 * 75

P = 230 + 150

P = 380

Perimeter of a square

P = 4*s Substitute

4s = 380 Divide by 4

s = 95

Check

Area of original Rectangle = 115 * 75 = 8625

Area of the derived square = 95^2 = 9025