Applications of Perimeter and Area

The perimeter of the triangle is 3x³ + 4x² + 8x + 15. If the shortest side is  2x² + 12x, the longest side (the hypotenuse) is x³ – 8x + 7, then what is the missing side length?

• 2x³ + 2x² + 4x + 8

• 4x³ + 6x² + 12x + 22

• 2x³ + 6x² + 28x + 8

• 4x³ + 2x² - 12x + 22

A square has a side length of x + 4. What is the area of the square?

• x² + 16

• x² + 8x + 16

• 4x + 16

• x² - 8x + 16

Tags

CCSS.HSA.APR.C.4

A pool has a length of x - 5 and a width of x + 3. What is the area of the pool?

• x² - 2x - 15

• x² - 8x + 15

• x² + 2x - 15

• x² + 8x + 15

Tags

CCSS.HSA.APR.A.1

A rectangular garden has an area of 4x² - 64. What are the dimensions of the garden?
(Hint: Factor)

• (2x + 8) by (2x - 8)

• (2x + 8) by (2x + 8)

• (2x - 8) by (2x - 8)

• Prime

A rectangular pizza has a perimeter of 24 inches. If the length is 8 inches, what is the width?

• 4 inches

• 6 inches

• 8 inches

• 3 inches

Tags

CCSS.4.MD.A.3

If the area of a shape is 50 square feet and the width is 10 feet, what is the length?

• 40 feet

• 10 feet

• 5 feet

• 15 feet

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Joanna made a blanket that has an area of 100 square inches. The length and width are whole numbers. The width is 4 times greater than the length. What are the length and width?

• 25, 4

• 20, 5

• 10, 10

• 24, 6

Tags

CCSS.4.MD.A.3

CCSS.3.MD.C.7B

Find the area of the trapezoid. Hint: You must use trig to find the height.

• 164.22

• 44.03

• 328.44

• 170

Tags

CCSS.6.G.A.1

Find the area of the trapezoid. Hint: You must use trig to find the second base.

• 166.8

• 170

• 256.6

• 333.6

Tags

CCSS.6.G.A.1

A regular 6-sided polygon has a side length of 8 and an area of 168. Find the apothem.

• 6

• 7

• 8

• 9

• None of the above.

Tags

CCSS.6.G.A.1