Answered

The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?

A 850.5h = 1,575

B 1,701h = 1,575

C 90h = 1,575

D 45h = 1,575

Top(base2)=63

Bottom(base1)=27

Verified Answer :

The Area of the trapezoid has the formula of:
Area = (a + b) / 2 h

In order for us to get the equation for the height, substitute the values that are present.
1,575 = (63 + 27) / 2 h
1575 = 45h

So the correct answer is letter D. 45h = 1575

dexteright02

Hello!

The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?

Data:

B (Larger base) = 63 cm

b (Minor base) = 27 cm

h (height) = ?

A (area) = 1,575 cm²  

Formula:

\(A = \dfrac{(B+b)*h}{2}\)

Substitute:

\(1,575 = \dfrac{(63+27)*h}{2}\)

\(1,575 = \dfrac{\diagup\!\!\!\!\!90^{45}*h}{\diagup\!\!\!\!2^1}\:\:\to\:\:\:1,575 = 45*h\:\:\to\:\:\boxed{\boxed{45h = 1,575}}\end{array}}\qquad\checkmark\)

Answer:

\(\textcircled{D}\:45h = 1,575\)

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I Hope this helps, greetings ... Dexteright02! =)

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