Question

The area of the trapazoid is 144 in² and the sum of the bases
36 in What is the height?

Answer 1

8 in

Explanation:

A = 144 in²

b₁ + b₂ = 36 in

h = ?

A =
`(1)/(2)`h(b₁ + b₂)

144 =
`(1)/(2)` × h × 36

144 = 18 × h

h = 144 ÷ 18

= 8 in

Answer 2

Height = 8 inches

Explanation:

The area of a trapezoid is given by the formula:

`\boxed{\sf Area = (1)/(2)* h * (b_1 + b_2)}`

where h is the height of the trapezoid, b1, and b2 are the bases.

• We are given:
• The area of the trapezoid = 144 in²
• a sum of the bases
  `\sf (b_1 + b_2)`= 36 inches.

Now, Substitute the value in the above formula:

`\sf 144 = (1)/(2)* h * (36)`

144 = 18*h

Since
`\sf (36)/(2)=18`

18h = 144

Dividing both sides by 18.

`\sf (18h)/(18)=(144)/(18)`

h = 8

Therefore, the height of the trapezoid is 8 inches.