Math problem A homeowner has two rectangular structures in her backyard. The dimensions of the hot tub are 6 feet by 8 feet. The dimensions of the fire pit are 7 feet by 9 feet. The length of the square backyard is 20 feet. What area of the yard is not covered by the hot tub and fire pit?

Respuesta :

Answer:

289feet²

Step-by-step explanation:

Area of a rectangle = length x breadth

area of a square = length²

area of the yard that is not covered by the hot tub and fire pit =

Area of the yard - (area of the hot tub + area of the fire pit)

Area of the yard = 20 feet² = 400 feet²

area of the hot tub =  6 feet² x 8 feet² = 48 feet²

area of the fire pit = 7 feet² x 9 feet² = 63 feet²

400 - (48 + 63) = 289 feet²