Answer:
Part one: The function rule for the area of the rectangle is A(x) = 3x² - 2x
Part two: The area of the rectangle is 8 feet² when its width is 2 feet
Step-by-step explanation:
Assume that the width of the rectangle is x
∵ The width of the rectangle = x feet
∵ The length of the rectangle is 2 ft less than three times its width
→ That means multiply the width by 3, then subtract 2 from the product
∴ The length of the rectangle = 3(x) - 2
∴ The length of the rectangle = (3x - 2) feet
∵ The area of the rectangle = length × width
∴ A(x) = (3x - 2) × x
→ Multiply each term in the bracket by x
∵ A(x) = x(3x) - x(2)
∴ A(x) = 3x² - 2x
∴ The function rule for the area of the rectangle is A(x) = 3x² - 2x
∵ The rectangle has a width of 2 ft
∵ The width = x
∴ x = 2
→ Substitute x by 2 in A(x)
∵ A(2) = 3(2)² - 2(2)
∴ A(2) = 3(4) - 4
∴ A(2) = 12 - 4
∴ A(2) = 8
∴ The area of the rectangle is 8 feet² when its width is 2 feet
Answer:
11
n²
Step-by-step explanation:
Given
= 
× 
× 
= 11 × × n²
= 11n²
Answer:
150m^2
Step-by-step explanation:
Given data
a=8m
b=17m
h=12m
We know that the expression for the area of a trapezoid is given as
Area= (a+b/2)*h
substitute
Area= (8+17/2)*12
Area= 25/2 *12
Area= 12.5*12
Area= 150 m^2
Hence the area is 150m^2
The great eats common factor known as GCF is the factor that fits in all the terms. In the equation given there is no GCF
