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VLD [36.1K]
3 years ago
6

The length of a picture frame is 2 inches more than the width. The perimeter of the frame is 36 inches. What is the length of th

e frame?
Mathematics
1 answer:
sveta [45]3 years ago
3 0
Let the width be x
∴the length =x+2
perimeter=2(l+b)
36=2(x+2+x)
36=2(2x+2)
=4x+4
4x=32 x=8
∴∴the length =x+2 = 8+2
 =10
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Step 1. Assign variables to Anita's and Basilio's ages.

Anita's age = A

Basilio's age = B

 

Step 2. Use the information given to form two equations.

Anita is 4-1/2 years older than Basilio

A = 4.5 + B

 

Three times Anita's age added to six times Basilio's age is 36

3A + 6B = 36

 

Step 3. Substitute the value of A from first equation in to the second equation and solve for B

3(4.5 + B) + 6B = 36

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Step 4. Find the value of A

A = 4.5 + 2.5 = 7

 

Answer:

Anita's age = 7 years

Basilio's age = 2.5 years

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