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The diagram represents the floor of a museum. The figure is made up of a rectangle and a triangle.

What is the area of the floor?

Enter your answer in the box.

I WILL MARK BRAINLIEST TO THE FIRST ANSWERThe diagram represents the floor of a museum The figure is made up of a rectangle and a triangle What is the area of t class=

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sharq6927
908.5 is the correct answer
pls mark branliest

calculista

Answer:

The area of the floor is [tex]908.5\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The area of the floor is equal to the area of rectangle plus the area of triangle

Step 1

Find the area of the rectangle

The area of rectangle is equal to

[tex]A=LW[/tex]

we have

[tex]L=38\ ft[/tex]

[tex]W=20\ ft[/tex]

substitute

[tex]A=38*20=760\ ft^{2}[/tex]

Step 2

Find the area of triangle

The area of triangle is equal to

[tex]A=\frac{1}{2}bh[/tex]

we have

[tex]b=38-5=33\ ft[/tex]

[tex]h=29-20=9\ ft[/tex]

substitute

[tex]A=\frac{1}{2}(33)(9)=148.5\ ft^{2}[/tex]

Step 3

Find the area of the floor

[tex]760\ ft^{2}+148.5\ ft^{2}=908.5\ ft^{2}[/tex]



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