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1 vote
What is the area of the figure?

40 ft2
84 ft2
96 ft2
can't be determined

What is the area of the figure? 40 ft2 84 ft2 96 ft2 can't be determined-example-1
User Sushant Kr
by
8.1k points

2 Answers

2 votes

Answer:80^2

Explanation:

User Knpwrs
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3 votes
80 ft^2 Looking at the figure, you can easily determine that it's made of two separate figures, a rectangle that's 2 feet by 16 feet, and a triangle that has sides of 16 feet, 10 feet, and 10 feet. The triangle can then be divided into two right triangles with a hypotenuse of 10 feet and one leg of 8 feet, so you can use the Pythagorean theorem to calculate the other leg (which is also the height of the large triangle mentioned above). That value is sqrt(10^2 - 8^2) = sqrt(100 - 64) = sqrt(36) = 6. So we now know that the large 16,10,10 triangle has a base of 16 and a height of 6. So let's calculate the area of the entire figure. A = 2*16 + 16*6/2 A = 32 + 16*3 A = 32 + 48 A = 80 So the area of the entire figure is 80 square feet.
User Mdlc
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