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
