Question

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

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:

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

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:

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

________________________

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