Question

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

Answer 1

Answer:

base = b = 5

height = h = 13

Step-by-step 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

$\sqrt{x^{2} } = \sqrt{81}$

$x = \sqrt{9^{2} }$

$x = 9$

Now,

base = b = x -4 = 9-4

base = b = 5

height = h = x+4 = 9+4

height = h = 13