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3 years ago

Someone help me please

Mathematics

2 answers:

shutvik [7]3 years ago

7 0

Answer:

A = 44 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

We require to find the missing segment of b₁

Using the tangent ratio in the right triangle

tan45° = $\frac{opposite}{adjacent}$ = $\frac{4}{adjacent}$ = 1 , so

adjacent = 4

Then

b₁ = 4 + 8 + 2 = 14 , b₂ = 8 and h = 4 , then

A = $\frac{1}{2}$ × 4 × (14 + 8) = 2 × 22 = 44 cm²

Ivahew [28]3 years ago

6 0

Answer:

This is the answer48 cm²

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