Question

Ned
Enrique is building a stage, which is shaped like a trapezoid. The bases are 8 and 5.4 meters, and the
height is 7 meters. How many square meters large is the stage?

Answer 1

Answer -

• The trapezoid stage is 46.9 square metres large.

To find -

• The area of the trapezoid.

Step-by-step explanation -

Given that -

• The bases of the trapezoid are 8 m and 5.4 m.
• The height of the trapezoid is 7 m.

We know that -

$\underline{ \boxed{\sf Area_{(trapezoid)} = \dfrac{1}{2} \times (Sum \: of \: bases) \times Height}}$

Substituting the given values in this formula -

$\tt \longmapsto \: Area_{(trapezoid)} = \dfrac{1}{2} \times (8 + 5.4) \times 7$

$\tt \longmapsto \: Area_{(trapezoid)} = \dfrac{1}{2} \times 13.4 \times 7$

$\tt\longmapsto \: Area_{(trapezoid)} = \dfrac{1}{2} \times 93.8$

$\tt \longmapsto \: Area_{(trapezoid)} = \cancel{\dfrac{93.8}{2} }$

$\tt \longmapsto \: Area_{(trapezoid)} = 46.9 \: {m}^{2}$

Henceforth -

• The trapezoid stage is 46.9 square metres large.

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