# Into Math Grade 7 Module 10 Answer Key Analyze Figures to Find Circumference and Area

We included HMH Into Math Grade 7 Answer Key PDF Module 10 Analyze Figures to Find Circumference and Area to make students experts in learning maths.

## HMH Into Math Grade 7 Module 10 Answer Key Analyze Figures to Find Circumference and Area

What Comes Next in the Pattern?

The figures shown are squares, non-square rectangles, and triangles.

Find the area of each figure in square centimeters. Look for patterns.

A.

___________ cm2
1 sq cm or 1 cm2
Explanation:
Area of a square A = Side X Side
A = 1 x 1 =1 sq cm or 1 cm2

B.

___________ cm2
4 cm2
Explanation:
Area of a rectangle A = length x width
A = l x w
A = 8 x 0.5
A = 4 cm2

C.

___________ cm2
9 cm2
Explanation:
Area of a triangle A = 1/2  base x height
A = 1/2 x 6 x 3
A = 0.5 x 18
A = 9 cm2

D.

___________ cm2
16 sq cm or 16 cm2
Explanation:
Area of a square A = Side X Side
A = 4 x 4 =16 sq cm or 16 cm2

E.

___________ cm2
25 cm2
Explanation:
Area of a rectangle A = length x width
A = l x w
A = 6.25 x 4
A = 25 cm2

F.

___________ cm2
36 cm2
Explanation:
Area of a triangle A = 1/2  base x height
A = 1/2 x 9 x 8
A = 0.5 x 72
A = 36 cm2

Turn and Talk

If the pattern continues, what three figures will appear in the next row? What will the areas of the figures be?
square , rectangle and triangle
Explanation:
Square
A square has four equal sides and four equal angles.
Area of a square A = Side X Side
Rectangle
A rectangle has two pairs of parallel sides opposite to each other, with four angles.
Area of a rectangle A = length x width
Triangle
A triangle has three sides, threes vertex and three angles.
Area of a triangle A = 1/2  base x height

Complete these problems to review prior concepts and skills you will need for this module.

Solve One-Step Equations

Solve the equation.

Question 1.
$$\frac{x}{2}$$ = 5 for x ___________
10
Explanation:
$$\frac{x}{2}$$ = 5 for x
x = 5 x 2 = 10

Question 2.
2w = $$\frac{10}{3}$$ for w __________
$$\frac{5}{3}$$
Explanation:
2w = $$\frac{10}{3}$$
w = $$\frac{5}{3}$$

Question 3.
$$\frac{h}{20}$$ = $$\frac{5}{4}$$ for h ___________
25
Explanation:
$$\frac{h}{20}$$ = $$\frac{5}{4}$$
h = $$\frac{5 x 20}{4}$$
h = 25

Evaluate Algebraic Expressions

Evaluate each given expression for n = -3.

Question 4.
4n + n ____________
-15
Explanation:
4n + n for n = -3
by substituting n = -3
4(-3) + (-3) = -12 – 3 = -15

Question 5.
-n + n2 ___________
12
Explanation:
-n + n2 for n = -3
-(-3) + (-3)2 = 3 + 9 = 12

Question 6.
3 – n2 ____________
-6
Explanation:
3 – n2 for n = -3
3 – (-3)2
3 – 9 = -6

Question 7.
What is the area of a rectangle that has a base of 5 centimeters and a height of 2 centimeters?
10 sq cm
Explanation:

Area of a rectangle A = length x width
A = l x w
A = 5 x 2
A = 10 cm2

Question 8.
What is the area of a square with a side length of 2.5 feet?
6.25 cm2
Explanation:
Area of a square A = Side X Side
A = 2.5 x 2.5 = 6.25 sq cm or 6.25 cm2

Question 9.
What is the area of the triangle shown?

14 cm2
Explanation:
Area of a triangle A = 1/2  base x height
A = 1/2 x 4 x 7
A = 0.5 x 28
A = 14 cm2

Question 10.
What is the area of the parallelogram shown?