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the back of a dog house is composed of a square and a triangle. How much wood is needed for the back of the dog house to the nearest tenth of a square foot i pretty much need a expression for the anwser pls help me with it

the back of a dog house is composed of a square and a triangle. How much wood is needed-example-1

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The area of the square = side x side

The area of the triangle = 1/2 x base x height

From the given figure

The back of the dog house is made from a square of side length 2.5 feet,

and a triangle of base = the side of the square = 2.5 feet

The height of the back is 4 ft, it is equal to the side of the square + the height of the triangle

Then 2.5 + height of the triangle = 4

Then the height of the triangle = 4 - 2.5 = 1.5 feet

Now we can find the area of the square and the area of the triangle

Area of the square = 2.5 x 2.5 = 6.25 square feet

Area of the triangle = 1/2 x 2.5 x 1.5 = 1.875 square feet

Add them to find the area of the back of the dog house

The area of the back = 6.25 + 1.875 = 8.125 square feet

Round it to the nearest tenth

The area of the back = 8.1 square feet

User Nick Meyer
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