The formula for the area A of a rectangle with a length of 5 inches is A = 5w, where w is the width in inches. Make a table showing the area of the rectangles with a 5-inch length and a
width of 2, 4, 6, and 8 inches. What would be the ordered pairs on the table.

Width 2 4 6 8

Area 10 20 30 40

Step-by-step explanation:

Area of a rectangle = length × width

Calculate width when length = 5 inches

When length = 5 inches and width = 2 inches

Area of a rectangle = length × width

A = 5 × 2

= 10 square inches

When length = 5 inches and width = 4 inches

Area of a rectangle = length × width

A = 5 × 4

= 20 square inches

When length = 5 inches and width = 6 inches

Area of a rectangle = length × width

A = 5 × 6

= 30 square inches

When length = 5 inches and width = 8 inches

Area of a rectangle = length × width

A = 5 × 8

= 40 square inches

Given the same length and different width

Width 2 4 6 8

Area 10 20 30 40

898.1666667

step-by-step explanation:

5389/6 = 898.1666667

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240