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Core Connections: Course 1
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Core Connections: Course 1 View details
2. Section 5.2
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Exercise 65 Page 234

Practice makes perfect
We want to find the missing side length of the given rectangle. Let's consider the given diagram!
Notice that our figure has the area of 500 square centimeters and that one of its dimensions is 100 centimeters long. Now, we can recall the formula for the area of a rectangle. A=l w In this formula, A is the area of the rectangle, l is its length, and w is its width. We can find the missing dimension of the rectangle by substituting 500 for A and 100 for w in this formula and solving it for l. Let's do it!
A=l w
SubstituteII

A= 500, w= 100

500=l ( 100)
DivEqn

.LHS /100.=.RHS /100.

500/100=l(100)/100
CalcQuot

Calculate quotient

5=l
RearrangeEqn

Rearrange equation

l=5
The length of the missing side 5 centimeters.
We want to find the missing side length of the given square. Let's consider the given diagram!

Notice that our figure has the side length of 8 centimeters. We can recall all side lengths of a square are equal. This means that x is also equal to 8 centimeters.

We want to find the missing side length of the given rectangle. Let's consider the given diagram!
Notice that our figure has the area of 82 square centimeters and that one of its dimensions is 5 centimeters long. Now, we can recall the formula for the area of a rectangle. A=l w In this formula, A is the area of the rectangle, l is its length, and w is its width. We can find the missing dimension of the rectangle by substituting 82 for A and 5 for w in this formula and solving it for l. Let's do it!
A=l w
SubstituteII

A= 82, w= 5

82=l ( 5)
DivEqn

.LHS /5.=.RHS /5.

82/5=l(5)/5
CalcQuot

Calculate quotient

16.4=l
RearrangeEqn

Rearrange equation

l=16.4
The length of the missing side 16.4 centimeters.
We want to find the missing side length of the given square. Let's consider the given diagram!

Notice that our figure has the side length of 5 centimeters. We can recall all side lengths of a square are equal. This means that x is also equal to 5 centimeters.

Subchapter links expand_more
arrow_right 5.2.1 Making Sense of Decimal Multiplication p.228-229
48
49
50
51
52
arrow_right 5.2.2 Fraction Multiplication Number Sense p.234
61
62
63
64
Fraction Multiplication Number Sense 65 (Page 234)