Identify the length of both bases. The bases are the two Identify parallel sides of the trapezoid.

12 and 6 are our bases.

...Add the lengths of the bases.

12+6 = 18

..Multiply the sum of the lengths of the bases by the height. ...Divide the result by two.

18×5= 90
90÷2= 45

The area is 45.

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2 years ago

A square mirror has sides measuring 2 ft less than the sides of a square painting. If the difference between their areas is 32 f

kari74 [83]

Answer: The side lengths of mirror and painting are 7 ft and 9 ft respectively.

Step-by-step explanation: Given that a square mirror has sides measuring 2 ft less than the sides of a square painting and the difference between their areas is 32 ft.

We are to find the lengths of the sides of the mirror and the painting.

Let x ft represents the length of the side of mirror. Then, the side length of square painting is (x+2) ft.

According to the given information, we have

$\textup{area of painting}-\textup{area of mirror}=32\\\\\Rightarrow (x+2)^2-x^2=32\\\\\Rightarrow x^2+4x+4-x^2=32\\\\\Rightarrow 4x=28\\\\\Rightarrow x=\dfrac{28}{4}\\\\\Rightarrow x=7.$