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jeka57 [31]
3 years ago
10

The area of a rectangle is 48 cm² and the length of the rectangle is 8 cm longer than the width. The area of a rectangle is foun

d by multiplying the length times the width. During the Set Up step of the five-step problem-solving plan, which equation would you set up to solve for the width?
A. w(w+8)=48
B. w + 8 = 48
C. w + 8w = 48
D. 8w = 48
Mathematics
2 answers:
Vitek1552 [10]3 years ago
8 0
I believe the answer is A
andrezito [222]3 years ago
7 0

Answer:

Option A.

Step-by-step explanation:

Let the length of a rectangle is l and width of the rectangle is w,

Then as per statement " Length of the rectangle is 8 cm longer than the width"

l = w + 8

Now we know area of a rectangle is represented by the formula

Area = Length × width

Area = l × w

        = (w + 8)w

Area of the rectangle has been given as 48 cm² then the formula will be

w(w + 8) = 48

Option A is the answer.

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The equation that solve for x is as follows;

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The equation that can be used to find the measure of angle x can be found as follows:

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Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

\displaystyle \frac{2}{15}.

Step-by-step explanation:

Let x be the amount of ice cream that Catherine's sister ate, in gallons.

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  • What Catherine ate: \displaystyle \frac{1}{5} gallons.
  • What Catherine's sister ate is assumed to be x gallons.
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Consider the relationship:

\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}.

That is:

\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}.

Add x to both sides of this equation:

\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x

Substract \displaystyle \frac{2}{3} from both sides:

\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x.

Convert the denominator of all three numbers on the left-hand side to 3 \times 5 = 15

\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x.

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