Area And Perimeter Of Composite figures and Word Problems

Find the length XY of the figure.

• 7 m

• 8 m

• 10 m

• 12 m

Tags

CCSS.HSG.CO.C.11

The figure is made up of a rectangle ABFG and a square CDEF. 

The area of the rectangle is twice the area of the square. 

The area of the square is 16 cm2. 

The perimeter of the figure is _______ cm.

• 24 cm

• 32 cm

• 36 cm

• 40 cm

The figure is made up of 5 identical squares.  

The area of the figure is 245 m2. 

The perimeter of the figure is _______ m.

• 77 m

• 84 m

• 91 m

• 98 m

Figures A and B are squares. 

The length of square B is half the length of square A. 

The area of the shaded part is 32 cm2. 

The area of square A is _______ cm2.

Tags

CCSS.7.G.A.1

The figure is made up of square PQRS placed on top of square ABCD.  

What is the area of the shaded part of the figure?

Judy had a piece of land measuring 28 m by 

21 m. A path was placed around her swimming pool as shown. Find the area of the swimming pool. 

Judy had a piece of land measuring 28 m by 

21 m. A path was placed around her swimming pool as shown. Find the area of the path way (the shaded part) 

A rectangular photograph measuring 30 cm by 20 cm is pasted on a rectangular piece of paper. It has a border of 5 cm around it. 

What is the area of the photograph?

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

A rectangular photograph measuring 30 cm by 20 cm is pasted on a rectangular piece of paper. It has a border of 5 cm around it. 

What is the area of the border?

A field measures 50 m by 20 m. 

James makes a footpath of width 3 m around it. 

A fence is placed around the footpath. 

How many metres of fence are needed?

• 148 m

• 158 m

• 162 m

• 164 m

Tags

CCSS.4.MD.A.2