asked 189k views
1 vote
Find the area of the following figure. The base angles are right angles.

143 in.2
137.5 in.2
121 in.2
113 in.2

Find the area of the following figure. The base angles are right angles. 143 in.2 137.5 in-example-1

2 Answers

6 votes

Answer:

121 in^2

Explanation:

answered
User Sabeen Malik
by
8.5k points
2 votes

area of the bottom square = 11*9 =99 squre inches

for the triangular top the area = 1/2 x b x h

you have hypotenuse and height so need to calculate the base dimension

4^2 +x^2 = 7^2

16 +x^2 = 49

x^2 = 33 x = sqrt(33) = 5.7

area = 1/2 4*5.7 = 11.489

there are two similar triangles so 11.489*2 = 22.97

99+22.97 = 121.97


looks like they rounded the numbers slightly different

so 121 in2 is their answer

answered
User Manoj Alwis
by
7.9k points
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