Answer:
- flower bed: 125 ft²
- yard not including flower bed: 575 ft²
Explanation:
The area of the triangular flower bed can be found using the formula for the area of a triangle. The area of the rectangular yard can be found using the formula for the area of a rectangle. The area of the yard not covered by the flower bed can be found by subtracting the flower bed area from the yard area.
A = 1/2bh . . . . . triangle area with base b and height h
A = bh . . . . . . . rectangle area with base b and height h
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Flower Bed
The triangular flower bed has a base of 25 feet and a height of 10 feet. Its area is ...
A = 1/2(25 ft)(10 ft) = 125 ft²
The area of the flower bed is 125 square feet.
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Yard
The rectangular yard has a base of 35 ft and a height of 20 ft. Its area is ...
A = (35 ft)(20 ft) = 700 ft²
The portion not covered by the flower bed is ...
700 ft² -125 ft² = 575 ft²
The area of the backyard that does not include the flower bed is 575 square feet.