Question

Someone help me please

Answer 1

A = 44 cm²

Explanation:

The area (A) of a trapezoid is calculated as

A =
`(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° =
`(opposite)/(adjacent)` =
`(4)/(adjacent)` = 1 , so

adjacent = 4

Then

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

A =
`(1)/(2)` × 4 × (14 + 8) = 2 × 22 = 44 cm²

Answer 2

This is the answer48 cm²