9514 1404 393
Answer:
A. 516 ft²
Explanation:
Divided at the horizontal dashed line, the figure becomes a triangle with a base of 23-7 = 16 ft and a height of 30-24 = 6 ft, together with a trapezoid of height 24 ft and bases of 23 ft and 23-7 = 16 ft.
The relevant area formulas are ...
A = 1/2bh . . . . . . area of a triangle with base b and height h
A = 1/2(b1 +b2)h . . . . area of a trapezoid with bases b1 and b2, and height h
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The area described by the floor plan is ...
play area = triangle area + trapezoid area
play area = 1/2(16 ft)(6 f) +1/2(23 ft +16 ft)(24 ft)
= 48 ft² +468 ft² = 516 ft²
516 square feet of carpet are needed for the play area.