Question

The area of the trapezoid

Answer 1

`\boxed{\bold{82.5 \ In.^2}}`

Step By Step Explanation:

Area Of Trapezoid:
`\bold{(a+b)/(2)Height }`

[ Find 'a' & 'b' ]

a: 5 In.

b: 10 In.

Height: 11 In.

[ Insert Numbers Into Equation ]

`\bold{(5+10)/(2) \ \cdot \ 11 }`

[ Solve ]

5 + 10 = 15

15 ÷ 2 = 7.5

7.5 · 11 = 82.5

Answer 2

A = 82.5 in²

Explanation:

The formula of an area of a trapezoid:

`A=(b_1+b_2)/(2)\cdot h`

b₁, b₂ - bases

h - height

We have b₁ = 10in, b₂ = 5in and h = 11in. Substitute:

`A=(10+5)/(2)\cdot11=(15)/(2)\cdot11=7.5\cdot11=82.5\ in^2`