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Core Connections Integrated I, 2013

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Core Connections Integrated I, 2013 View details

3. Section 5.3

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Exercise 113 Page 288

a To calculate the area of a square, we have to square its side.

A = s^{2}

$s = 7$

A = 7^{2}

Calculate power

A = 49

The area of the square is

49 cm^{2} .

b To calculate the area of a triangle, we have to multiply its base and height and divide by

2 .

From the diagram, we can identify the base and height.

Having identified the base and height, we can calculate the area of the triangle.

A = \frac{1}{2} b h

$b = 10$ , $h = 4$

A = \frac{1}{2} (10) (4)

▼

Evaluate right-hand side

Multiply

A = \frac{1}{2} (40)

MoveRightFacToNumOne

$\frac{1}{b} \cdot a = \frac{a}{b}$

A = \frac{4 0}{2}

Calculate quotient

A = 20

The area of the triangle is

20 in .^{2} .

c The figure is a trapezoid. To calculate the area of a trapezoid we have to multiply the height with the sum of its parallel sides and divide the product by

2 .

Now we can calculate the area of the trapezoid.

A = \frac{1}{2} (a + b) h

SubstituteValues

Substitute values

A = \frac{1}{2} (16 + 8) (6)

▼

Evaluate right-hand side

Add terms

A = \frac{1}{2} (24) (6)

Multiply

A = \frac{1}{2} (144)

MoveRightFacToNumOne

$\frac{1}{b} \cdot a = \frac{a}{b}$

A = \frac{1 4 4}{2}

Calculate quotient

A = 72

The area of the trapezoid is

72 feet^{2} .

Subchapter links

5.3.1 Comparing Growth in Tables and Graphs p.277-278

5.3.2 Using Multipliers to Solve Problems p.285-288

5.3.3 Comparing Sequences to Functions p.292-293