Non-linear equations (one variable)

The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is 150 inches, find the dimensions.

SELECT 2 answers for the dimensions

• 57 inches

• 30 inches

• 20 inches

• 55 inches

The length of a rectangle is 7 inches more than its width, its area is 228 square inches. Determine the length of the given rectangle.

• 18 m

• 19 m

• 20 m

• 21 m

The length of the rectangle is 5 meter longer than the width and the area of the rectangle is 84 (meters squared). Which equation represents this problem if w is the width on the rectangle?

• w(w+5)=84

• (w+5) (w-5)=84

• w(w+5)+84=0

• w^{2}-84=0

The difference between the square ⬛ of two consecutive numbers is 31. Find the numbers.

• 23 and 37

• 15 and 16

• 14 and 45

• 65 and 34

What is the area of the shaded region?

You want to create a garden in your backyard. Given are the dimensions of the garden and a border. Determine the area of the gray border surrounding the garden bed.

• 8x + 24

• 6x + 32

• 2x² - 8x + 4

• x² + 16x + 16

The sum of two numbers is 12 and the sum of their squares is 80. Find the numbers.

• 4 and 8

• 6 and 6

• 2 and 10

• 3 and 9

The length of a rectangle is 4 cm more than its width. The area of the rectangle is 96 sq. cm. Find its dimensions.

• 4 cm by 8 cm

• 6 cm by 10 cm

• 8 cm by 12 cm

• 10 cm by 14 cm

One leg of a right triangle is seven more than the other leg. The hypotenuse is eight more than the shorter leg. Find the lengths of the longest side.

• 5 ft
• 3 ft
• 12 ft
• 13 ft