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What is the total area of the figure?A. 47 feet squaredB. 52 feet squared C. 168 feet squaredD. 402 feet squared

What is the total area of the figure?A. 47 feet squaredB. 52 feet squared C. 168 feet-example-1
User Alfran
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1 Answer

5 votes

we need to find two areas and sum to find the total area

the first area is the stairs

we must find the area of ​​the trapezoid by the formula


A=(B+b)/(2)* h

where B is the long side, b the short side and h the height


\begin{gathered} A=(6+4)/(2)*2 \\ \\ A=10 \end{gathered}

so, the area of the stairs is 10 feet squared

The second area is the pool

the area of the rectangle is


A=b* h

replacing


\begin{gathered} A=14*28 \\ A=392 \end{gathered}

the area of the pool is 392 feet squared

Then, the toal area is the sum,so


\begin{gathered} A_T=10+392 \\ A_T=402 \end{gathered}

the total Area is 402 feet squared, so the rigth option is D

What is the total area of the figure?A. 47 feet squaredB. 52 feet squared C. 168 feet-example-1
What is the total area of the figure?A. 47 feet squaredB. 52 feet squared C. 168 feet-example-2
User GNerb
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4.7k points