Solving Word Problems Involving Quadratic Equations Area

Translate: The square of a number is one hundred fifty more than five times a number.

• x² = 5x + 150

• x² = 5x + 50

• 2x = 5x + 150

• x² = 5x + 15

Ate Marwin and Ate Daisy are both working on the school canteen. Together they can finish cleaning the canteen in 4 hours. It takes ate Marwin working alone in 6 hours longer than it takes Ate Daisy working alone. Determine the quadratic equation formed on the given problem.

• x² + 6x + 12 = 0

• x² + 2x + 24 = 0

• x² - 6x + 12 = 0

• x² – 2x – 24 = 0

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

(a)  

Tags

CCSS.HSA.CED.A.1

Answer to part c is (a)  

The length of a rectangular parking is 9m longer than its width and the area of the lot is 36m². How will you represent the length of the parking lot?

• x

• x + 36

• x + 9

• x - y

If you square 5 more than a positive number, the result is 88 more than 12 times the number. Find the number.

• 7

• -7

• 9

• -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 number is 3 more than another. The sum of their squares is 149. Find the numbers.

• 4 and 7; -4 and -7

• 5 and 8; -5 and -8

• 6 and 9; -6 and -9

• 7 and 10, -7 and -10

The length of a rectangle is 1 m longer than 3 times its width. The area is 80 m² . Find the dimensions of this rectangle.

• 4m by 13m

• 5m by 16m

• 6m by 19m

• 7m by 22m