The owner of a shopping mall wants to install a carpeted play area for children. The dimensions of the play area are shown. How many square feet of carpet are needed for the
play area?
Use the floor plan to answer the question.

A. 516 square feet
B. 548 square feet
C. 684 square feet
D. 764 square feet

9514 1404 393

  A.  516 ft²

Step-by-step 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.

whatvare the choices

step-by-step explanation: