COMBINED FIGURES WORKSHEET

Problem 1 :

Find the perimeter and area of the following figures:

Solution

Problem 2 :

Find the area of shaded portion.

Solution

Problem 3 :

The kitchen in Mario’s Italian restaurant is 18  meters long and 12 meters wide. A square  pantry is connected to the kitchen area. The  pantry is 3 meters wide. What is the total area  of the kitchen and pantry?

Solution

Problem 4 :

The area of  triangle QTU is 6 square units, and the  area of triangle RSU is 6 square units. The  dimensions in the figure below are labeled in  units. What is the area of  triangle STU in square  units?

Solution

Problem 5 :

The figure below is divided into four small  squares. The sides of each small square are 6  cm long. What is the area, in square  centimeters, of the entire figure?

Solution

Problem 6 :

The figure is made up of a semicircle and a triangle. Find the perimeter

Solution

Problem 7 :

The running track is made up of a rectangle and two semicircles. Find the perimeter.

Solution

Problem 8 :

A section of land is to be fenced in for a horse pasture.

a. Find the perimeter of the pasture.

b. Fencing costs $27 per yard. How much will it cost to fence in the pasture?

Solution

Problem 9 :

The inner circumference is 352 mm and outer is 396 mm. Find the width of circular design.

Solution

Problem 10 :

A rectangular field is 48 m long and 12 m wide. How many right triangular flower beds can be laid in this field, if sides including the right angle measure 2 m and 4 m, respectively?

Solution

Problem 11 :

A design is made up of four congruent right triangles as shown in figure. Find the area of the shaded portion.

Solution

Question 1 :

Find the perimeter and area of the shape shown below. (Use π ≈ 3.14).

Question 2 :

Jennifer has a key-chain which is in the form of an equilateral triangle and a semicircle attached to a square of side 5 cm as shown below. Find its area. (Use π ≈ 3.14 and √3 = 1.732).

Question 3 :

A 3-fold invitation card is given with measures as shown below. Find its area.

Question 4 :

A 3-fold invitation card is given with measures as shown below. Find its area.

Question 5 :

Find the area of the shaded region in the square of side 10 cm as shown below (Use π ≈ 3.14).

Question 6 :

Find the area of an irregular polygon field whose measures are as shown below.

1)  50.72 cm² (approximately)

2)  45.64 cm² (approximately)

3)  296 cm²

4)  The total cost of the entire mat = 28 x $20 = $560.

5)   57 cm² (approximately)

6)  226 m²

Problem 1 :

Find the area of the given polygon

Solution

Problem 2 :

Find the area of the given polygon

Solution

Problem 3 :

Find the area of the given polygon

Solution

Problem 4 :

Find the area of the given polygon

Solution

Problem 5 :

Find the area of the given polygon

Solution

Problem 6 :

Find the area of the portion of the basketball court shown.

Solution

Problem 7 :

In the figure below, trapezoid DEFG is made up of triangle MHK and two identical parallelograms DEHM and MKFG. The area of triangle MHK is 105 square inches. Find the area of trapezoid DEFG.

Solution

Problem 1 : 

Find the area of the shaded region.

Solution

Problem 2 : 

Find the area of the shaded region.

Solution

Problem 3 : 

Find the area of the shaded region.

Solution

Problem 4 : 

Find the area of the shaded region.

Solution

Problem 5 : 

Find the area of the shaded region.

Solution

Problem 6 : 

The figure is made up of a square and two semicircles. Find the perimeter.

Solution

Problem 7 : 

Running at 4 ft/sec, how long would it take a person to run around the baseball field?

Solution

Problem 8 : 

A garden is built on a rooftop. Find the perimeter of the garden.

Solution

Problem 9 : 

Dimensions of a painting are 60 cm × 38 cm. Find the area of the wooden frame of width 6 cm around the painting as shown

Solution

Problem 10 : 

A school playground is divided by a 2 m wide path which is parallel to the width of the playground, and a 3 m wide path which is parallel to the length of the ground. If the length and width of the playground are 120 m and 80 m respectively, find the area of the remaining playground.

Solution

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