Area and Perimeter with Square Root Expressions

It is the total length of a boundary or the distance around the outside of a shape.

• Represent

• Perimeter

• Area

• Squares

The distance around a closed 2-dimensional figure or shape.

• Perimeter

• Area

• Irrational Number

• Volume

Quadrilateral WXYZ is in the standard (x,y) coordinate plane. For this quadrilateral, WZ = 7, YZ = 6, XY = the square root of 53, and WX = 8, all in coordinate units. Which of the following is closest to the perimeter of quadrilateral WXYZ, in coordinate units?

• 22.6

• 25.7

• 28.3

• 31.4

• 35.8

Tags

CCSS.HSG.GPE.B.7

The length of a rectangle is 8 inches longer than its width. If the perimeter of the rectangle is 36 inches, what is the width, in inches?

• 13

• 10

• 5

• 4

• 3

Tags

CCSS.8.EE.C.7B

• A

• B

• C

• D

Tags

CCSS.8.EE.A.2

• A

• B

• C

• D

Tags

CCSS.8.EE.A.2

A certain square has the same perimeter as a regular pentagon (a 5-sided polygon with all sides and interior angles congruent). If 1 side of the pentagon is 72 millimeters, how long is 1 side of this square?

• 45

• 60

• 75

• 90

• 135

Tags

CCSS.3.MD.D.8

The Summerdale Community Council is planning the renovation of a park in the center of the town. The park will be a rectangular region of 85 feet by 175 feet with an area of 14,875 square feet. There will be a wooden fence along the perimeter of the park. What is the total length of the fence, in feet?

• 250

• 340

• 410

• 480

• 520

Tags

CCSS.3.MD.D.8

Joseph is constructing a rectangular fence for his garden. A diagram of the fence is shown. Which of the following expressions gives the perimeter of Joseph's fence?

• 3x + 5

• 3x + 10

• 6x + 10

• 6x + 20

• 2x squared + 11x - 6

Tags

CCSS.HSA.APR.A.1

Homer’s quadrilateral pig pen has a perimeter of 45x+31m. If three of its sides measure 7x+12m, 15x-6m, and 10x+14m, how long is the 4^th side?

Tags

CCSS.8.EE.C.7B