Quadratic area problems

#2) The area of a playground is 504 square yards.  The length of the playground is (x +8) and the width is (x – 2).  Find the length and width.

• 20
• -26 and 20
• 18 and 28
• 14 and 36

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.B.4

#1) The length of a rectangle is 6 meters more than the width.  The area is 72 square meters.  Find the length and width.

• Length = 6, Width = 12
• Length = 18, Width = 4
• Length = 12, Width = 6
• Length = 4, Width = 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

#5) The rec center has a rectangular pool that has an area of 500 square feet.  The width is 5 times the length.  What is the length of the pool?

• 50
• 10
• 20
• 25

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

#4) A movie screen has an area of 143 square feet.  The length of the screen is 2 feet more than the width.  What is the length of the screen?

• 10
• 11
• 12
• 13

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.4

The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground

•  length = 26 yd, width = 21 yd
• length = 21 yd, width = 26 yd 
• length = 21 yd, width = 16 yd 
• length = 16 yd, width = 21 yd

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

The length of a tropical garden at a conservatory is 5 feet more than its width.  A walkway 2 feet wide surrounds the outside of the garden.  If the total area of the walkway and garden is 126 square feet, find the dimensions of the garden.

• 2(x+2) + 2(x+7) = 126
• 2(x+4) + 2(x+ 9) = 126
• (x+2)(x+9) = 126
• (x+4)(x+11) = 126

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.3

A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle? 

• 6
• 8
• 3
• 19

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

The width of a rectangle is 8 meters less than its length. If the area of the rectangle is 84 m², find the dimensions of the rectangle.

• x(x-8)=84
• x(x-4)=84
• x(x+8)=84
• x(x-8)=168

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1