Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft 2. Find the base.

Answer: The base is 18.3ft

Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x) (base=6x)

Step-by-step explanation:

Given;

Area = 280ft^2

height = 5x

Base = 6x

The area of the parallelogram A can be written as;

Area = base * height

A = b*h

Substituting the values of Area, base and height.

280 = 5x * 6x

280 = 30x^2

x^2 = 280/30

x = √ (280/30)

Since the base = 6x;

Substituting the value of x.

Base = 6x = 6 (√ (280/30))

Base = 18.3ft

The base is 18.3ft