Question

The area of the parallelogram is 65 square miles. Find it’s base and height. x-4 , x+4

Answer 1

base = b = 5

height = h = 13

Explanation:

Given Data:

Area of Parallelogram = A = 65
`miles^(2)`

base = b = x -4

height = h = x+4

Formula:

A = b×h

Solution:

A = b×h

65 = (x-4)×(x+4)

65 =
`x^(2) - 4^(2)` ∴ (a-b)(a+b) =
`a^(2) - b^(2)`

65 =
`x^(2) - 16`

`x^(2)` = 65 + 16

`x^(2)` = 81

`\sqrt{x^(2) } = √(81)`

`x = \sqrt{9^(2) }`

`x = 9`

Now,

base = b = x -4 = 9-4

base = b = 5

height = h = x+4 = 9+4

height = h = 13