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31 votes
57. The area is less than 18 square centimeters. 4 cm 8 cm

User Justin Turner Arthur
by
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1 Answer

9 votes
9 votes

we know that

The area of a trapezoid is equal to

A=(b1+b2)h/2

where

b1 and b2 are the parallel bases

h is the height

In this problem we have

b1=8 cm

b2=4 cm

h=x

substitute

A=(8+4)x/2

A=6x cm^2

we know that

the area is less than 18 cm^2

so

6x < 18

solve for x

divide by 6 both sides

x < 3 cm

therefore

The value of x must be less than 3 cm

User Peter Mularien
by
2.6k points