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

• The trapezoid stage is 46.9 square metres large.

To find -

• The area of the trapezoid.

Step-by-step 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)) = (1)/(2) * (Sum \: of \: bases) * Height}}`

Substituting the given values in this formula -

`\tt \longmapsto \: Area_((trapezoid)) = (1)/(2) * (8 + 5.4) * 7`

`\tt \longmapsto \: Area_((trapezoid)) = (1)/(2) * 13.4 * 7`

`\tt\longmapsto \: Area_((trapezoid)) = (1)/(2) * 93.8`

`\tt \longmapsto \: Area_((trapezoid)) = \cancel{(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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