Question

john is placing cement tiles for a patio in a rectangle surrounding a rectangular fire pit. The fire pit has a width of x ft and a length that is 5 times the width. The entire patio is 6ft wider and 19 ft longer than the fire pit. What is the area that he will need to buy tiles for?

Answer 1

49x + 114

Explanation:

[ [ fireplace ] x = area of 5
`x^(2)` ] x + 6

5x

patio = area of 5
`x^(2)` + 49x + 114

5x + 19

(5x + 19) ( x + 6) = 5
`x^(2)` + 19x + 30x + 114

(5
`x^(2)` + 49x + 114) - (5
`x^(2)` ) = 49x + 114

(area of patio and fireplace) - (area of fireplace) = (area of patio only)