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Darina [25.2K]
3 years ago
11

(25 PNTS!!) The area of a rectangle is 63 square meters. If the length of the rectangle is 2 m longer than its width, find the d

imensions. Let w be the width of the rectangle in meters. First find the width of the rectangle by solving for w, then length.
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
4 0

Answer:

w = 7m

l =9 m

Step-by-step explanation:

Let w = width

l = w+2

A = l*w

63 = (w+2) * w

63 = w^2 +2w

Subtract 63 from each side

0 = w^2 +2w - 63

Factor

What 2 numbers multiply to -63 and add to 2

9*-7 = -63

9-7 = 2

0 = (w +9) ( w-7)

Using the zero product property

w+9 =0     w-7 =0

w = -9        w = 7

Since we cannot have a negative length

w=7

l =w+2 =7+2 = 9

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Answer:

The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.

Step-by-step explanation:

We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio  of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

\frac{15}{100} =\frac{5}{y}

I can now cross-multiply by multiplying numerator and denominator from each ratio.

15y=100(5)\\15y=500

I now solve for y by dividing by 15.

\frac{15y}{15} =\frac{500}{15} \\y= 33.33333....

The original price was $33.34.

Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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