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

Question

3 years ago

15

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?

Mathematics

1 answer:

Finger [1] · Answer 1 · 2022-10-15T21:36:36+03:00

Answer:

49x + 114

Step-by-step 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)