Question

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

Answer 1

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 = ((B+b)*h)/(2)`

Substitute:

`1,575 = ((63+27)*h)/(2)`

`1,575 = (\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`

________________________

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

Answer 2

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