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AveGali [126]
3 years ago
13

Mr. Design is covering rectangular pieces of plywood with fabric to create a wall hanging. Each piece has an area of 12 3/4 squa

re inch. One of the rectangles is 2 1/8 inches wide and a second rectangle is 2 1/ 10 inches wide. Find the length of each rectangle.
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

6 inches 
6 1/14 inches  
Since area is defined as length multiplied by width, this is a simple matter of division. I suspect this problem is more a matter of handling fractions, so to make things easier, convert the fractions to improper fractions in order to do the math, then convert to proper fractions after you've gotten the result. Since the area of each rectangle is 12 3/4, multiply 12 by 4 and then add 3 to get 51/4 as the area. Doing the same for the values 2 1/8 and 2 1/10 gives sizes of 17/8 and 21/10 for the widths respectively. So 
 51/4 / 17/8 = 51/4 * 8/17 = 408/68 = 6/1 = 6 
 51/4 / 21/10 = 51/4 * 10/21 = 510/84 = 85/14 = 6 1/14
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Pls answer correctly thnks
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5 0
2 years ago
Read 2 more answers
Given: 15+6(y−2)=21 Prove: y = 3 Drag and drop the reasons into the boxes to correctly complete the proof. Statement Reason 15+6
olchik [2.2K]

Answer:

Given:  15+6(y-2)=21

Distributive Property tells us that we multiply each term inside the parentheses with the term outside of the parentheses.

a\cdot(b-c) =a\cdot b -a\cdot c

Using distributive property on expression 6(y-2) to solve the further expression as:

15+6\cdot y - 6\cdot 2=21

Simplify:

15+6y-12 =21

Subtract the number 12 from 15 we get 3;

therefore, the expression become:

6y+3=21

Subtraction property of equality tells us that subtract the same number from both sides of an equation.

Now, subtract 3 from both the sides we get;

6y+3-3=21-3

Simplify:

6y=18

Now, divide by 6 on both the sides we get;

\frac{6y}{6}= \frac{18}{6}

On simplify we get;

y =3           Hence Proved!





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3 years ago
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Answer:

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