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 4 times the width. The entire patio is 5 ft wider and 11 ft longer than the fire pit. What is the area that he will need to buy tiles for?

Answer 1

.............................what?

Answer 2

Answer:

31x + 55 sq. ft.

Step-by-step explanation:

Width of Fire Pit = x ft.

Length of Fire Pit = 4x ft.

Width of Patio = x + 5 ft.

Length of Patio = 4x + 11 ft.

Area of Fire pit = 4x * x = 4x² sq, ft.

Total Area of Rectangular Patio (including Fire pit)  = (4x + 11)(x+5)

                                                                               = 4x² + 31x + 55 sq. ft.

Area for which tiling is done = Area of Rectangular patio - Area of fire pit

= 4x² + 31x + 55 - 4x²

= 31x + 55 sq. ft.