Question

The area of the trapezoid

Answer 1

Answer:

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

Step By Step Explanation:

Area Of Trapezoid: $\bold{\frac{a+b}{2}Height }$

[ Find 'a' & 'b' ]

a: 5 In.

b: 10 In.

Height: 11 In.

[ Insert Numbers Into Equation ]

$\bold{\frac{5+10}{2} \ \cdot \ 11 }$

[ Solve ]

5 + 10 = 15

15 ÷ 2 = 7.5

7.5 · 11 = 82.5

Answer 2

Answer:

A = 82.5 in²

Step-by-step explanation:

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

b₁, b₂ - bases

h - height

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

$A=\dfrac{10+5}{2}\cdot11=\dfrac{15}{2}\cdot11=7.5\cdot11=82.5\ in^2$