Question

One side of the stage where Juan’s drama club performs is shaped like a trapezoid with an area of 72 m2. The trapezoid’s two bases are 30 m and 42 m. What is the height of the trapezoid?

Answer 1

Answer:

H=2

Step-by-step explanation:

A=((a+b)/2)×H

H=2A/a+b

H=2×72/30+42

H=2

Answer 2

$Let \: \pink {a} \:and \: \blue {b} \:are \:two \\parallel \:sides \:of \:the \: Trapezoid$

$Given \: a = 30 \:m \:and \: b = 42 \:m$

$Let \: Height \: of \: the \: Trapezoid = \red{h} \:m$

$Area \: of \:the \: Trapezoid (A) = 72 \: m^{2}$

$\implies \frac{(30+42)\times h }{2} = 72$

$\implies \frac{72\times h }{2} = 72$

$\implies h = 72 \times \frac{2}{72 }$

$\implies h = 2 \: m$

Therefore.,

$\red{Height\: of \:the \: Trapezoid} \green {= 2\: m }$

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