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.

___________ cm^{2}

Answer:

1 sq cm or 1 cm^{2}

Explanation:

Area of a square A = Side X Side

A = 1 x 1 =1 sq cm or 1 cm^{2}

B.

___________ cm^{2}

Answer:

4 cm^{2}

Explanation:

Area of a rectangle A = length x width

A = l x w

A = 8 x 0.5

A = 4 cm^{2}

C.

___________ cm^{2}

Answer:

9 cm^{2}

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 cm^{2}

D.

___________ cm^{2}

Answer:

16 sq cm or 16 cm^{2}

Explanation:

Area of a square A = Side X Side

A = 4 x 4 =16 sq cm or 16 cm^{2}

E.

___________ cm^{2}

Answer:

25 cm^{2}

Explanation:

Area of a rectangle A = length x width

A = l x w

A = 6.25 x 4

A = 25 cm^{2}

F.

___________ cm^{2}

Answer:

36 cm^{2}

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 cm^{2}

**Turn and Talk**

If the pattern continues, what three figures will appear in the next row? What will the areas of the figures be?

Answer:

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

**Are You Ready?**

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 ___________

Answer:

10

Explanation:

\(\frac{x}{2}\) = 5 for x

x = 5 x 2 = 10

Question 2.

2w = \(\frac{10}{3}\) for w __________

Answer:

\(\frac{5}{3}\)

Explanation:

2w = \(\frac{10}{3}\)

w = \(\frac{5}{3}\)

Question 3.

\(\frac{h}{20}\) = \(\frac{5}{4}\) for h ___________

Answer:

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 ____________

Answer:

-15

Explanation:

4n + n for n = -3

by substituting n = -3

4(-3) + (-3) = -12 – 3 = -15

Question 5.

-n + n^{2} ___________

Answer:

12

Explanation:

-n + n^{2} for n = -3

-(-3) + (-3)^{2} = 3 + 9 = 12

Question 6.

3 – n^{2} ____________

Answer:

-6

Explanation:

3 – n^{2 }for n = -3

3 – (-3)^{2
}3 – 9 = -6

**Area of Quadrilaterals and Triangles**

Question 7.

What is the area of a rectangle that has a base of 5 centimeters and a height of 2 centimeters?

Answer:

10 sq cm

Explanation:

Area of a rectangle A = length x width

A = l x w

A = 5 x 2

A = 10 cm^{2}

Question 8.

What is the area of a square with a side length of 2.5 feet?

Answer:

6.25 cm^{2}

Explanation:

Area of a square A = Side X Side

A = 2.5 x 2.5 = 6.25 sq cm or 6.25 cm^{2}

Question 9.

What is the area of the triangle shown?

Answer:

14 cm^{2}

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 cm^{2}

Question 10.

What is the area of the parallelogram shown?

Answer:

15 cm^{2}

Explanation:

Area of a parallelogram A = base x height

A = 1.5 x 10

A = 15 cm^{2}