Question

Katie Ward is building a children's playhouse. She wants each window to have an area of 315 square inches for adequate air. For eye appeal, she wants each window to be six inches higher than wide. What are the dimensions of the window

Answer 1

The window has a shape of a quadrilateral which has a higher length than width. So, this is a rectangular window. The area of a rectangle is equal to its length time width. Since l = 6w,

lw = 315
6w*w = 315
6w² = 315
w² = 315/6
w² = 52.5
w = √52.5
w = 7.25 inches

Consequently, l = 6w = 6*7.25 = 43.5 inches.

Thus, the window has a length of 43.5 inches and a width of 7.25 inches.