a flag has an area of 840 square inches and a perimeter of 118 inches. what are the dimensions of the flag

Question

a flag has an area of 840 square inches and a perimeter of 118 inches. what are the dimensions of the flag

Answer 1

Assuming the flag is rectangular in shape, area of a rectangle = length times width. Perimeter of a rectangle = 2L + 2W, where L is the length and W is the width. Therefore, you have two equations.

A = LW = 840

P = 2L + 2W = 118

You can solve the first equation for either L or W. Let's say we solve it for W.

LW = 840

W = 840/L

Now, plug this value of W into the perimeter equation.

2L + 2W = 2L + 2(840/L) = 118

Now, solve that equation for L. Once you have L, you can find W.