**Area of composite figures worksheet 7th grade answers :**

Here we are going to see some practice problems based on the concept composite figures.

(1) Area of the following figure

(2) Area of the following figure

(3) John bought a square plot of side 60 m. Adjacent to this David bought a rectangular plot of dimension 70 m x 50 m. Both paid the same amount. Who is benefited ?

(4) Find the area of the following figure

(5) Daniel bought a square plot of side 50 m. Adjacent to this Richard bought a rectangular plot of length 60 m and breadth 40 m for the same price. Find out who is benefited and how many sq. m. are more for him?

**Question 1 :**

Find the area of the following figure

**Solution :**

By drawing a line GD parallel to AB, we can split the given picture as two parts.

(i) GDEF is a square of side length 3 cm

(ii) ABCG is a rectangle of length 10 cm and width 4 cm

Area of square = a²

Area of rectangle = length x breadth

Area of square (GDEF) = 3² = 9 cm²

Area of rectangle = 10 x 4 = 40 cm²

Area of the given figure = 40 + 9 = 49 cm²

**Question 2 :**

Find the area of the following figure

**Solution :**

By drawing a line BD parallel to AE, we can split the given picture as two parts.

(i) BCD is a triangle

(ii) ABED is a rectangle

Area of triangle = (1/2) x b x h

Area of rectangle = length x breadth

length of AC = 17

AB + BC = 17 ==> 10 + BC = 17 ==> BC = 7 cm

Area of triangle = (1/2) x 7 x 5 = 35/2 ==> 17.5 cm²

Area of rectangle = 10 x 5 = 50 cm²

Area of given shape = 17.5 + 50 ==> 67.5 cm²

**Question 3 :**

John bought a square plot of side 60 m. Adjacent to this David bought a rectangular plot of dimension 70 m x 50 m. Both paid the same amount. Who is benefited ?

**Solution :**

To find who is benefited, we have to find the area of above shapes separately.

(i) ABFG is a square of side length 60 m

(ii) BCDE is a rectangle of length 70 m and width 50 m.

Area of square = a²

Area of rectangle = length x breadth

Area of ABFG = 60² = 60 x 60 = 3600 m²

Area of rectangle = 70 x 50 = 3500 m²

From the above calculation, we come to know that John is having more area than David. So John is more benefited.

**Question 4 :**

Find the area of the following figure

**Solution :**

(i) ABCD is a square of side length 15 cm

(ii) Area of rectangle FEGH

Length of DC = 15

DF + FE + EC = 15 ==> 3 + FE + 5 = 15

FE = 15 - 8 ==> FE = 7 cm

Area of square (ABCD) = a² ==> 15² ==> 225 cm²

Area of rectangle (FEGH) = length x width

= 20 x 7 = 140 cm²

Area of the given figure = 225 + 140 = 365 cm²

**Question 5 :**

Daniel bought a square plot of side 50 m. Adjacent to this Richard bought a rectangular plot of length 60 m and breadth 40 m for the same price. Find out who is benefited and how many sq. m. are more for him?

**Solution :**

Area of square plot = a²

Side length of square = 50 m

Area of land owned by Daniel = 50²

= 50 x 50 = 2500 m²

Area of land owned by Richard = length x width

= 60 x 40 = 2400 m²

Since Daniel is having more area than Richard, we can decide that Daniel is benefited.

Daniel is having 100 m² more area than Richard.

After having gone through the stuff given above, we hope that the students would have understood "Area of composite figures worksheet 7th grade answers".

Apart from the stuff given above, if you want to know more about "Area of composite figures worksheet 7th grade answers", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

Widget is loading comments...

You can also visit our following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**