Quadratic Applications

 The length of a rectangle is 2 meters less than four times its width. The area of the rectangle is 12 $m^2$ . Find the dimensions of the rectangle. 

• 3/2 m x 4 m

• 2 m x 10 m

• 2 m x 6 m

• 4 m x 3 m

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

The shorter leg of a right triangle is 18 less than the hypotenuse. The longer leg is 1 less than the hypotenuse. Find the perimeter of the triangle.

• 56 units

• 30 units

• 39 units

• 60 units

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSG.SRT.C.8

Given the diagram, if the area of the shaded region is 20 $ft^2$ , what are the dimensions of the inside rectangle? 

• 20 ft x 19 ft

• 12 ft x 14 ft

• 4 ft x 13 ft

• 4 ft x 6 ft

Find three consecutive negative integers such that the product of the median integer and the smallest integer is 210.

• -14, -15, -16

• -10, -11, -12

• -16, -17, -18

• -20, -21, -22

Ellen has a rectangular shaped pool that is 30 feet by 18 feet. She would like to increase the length and width by the same amount, x, so the new pool is three times of the current area. Find the value of x to the nearest tenth of a foot.

• x = 15.9 ft

• x = 16.7 ft

• x = 64.7 ft

• x = 16.6 ft

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.B.4