SOLUTION: A rectangle is to be drawn with perimeter 64cm. if the length is to be 14cm more than the width, determine the area of the rectangle

Question 388668: A rectangle is to be drawn with perimeter 64cm. if the length is to be 14cm more than the width, determine the area of the rectangle
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The perimeter for a rectangle is where L is the length and W is the width. Since "A rectangle is to be drawn with perimeter 64cm", we know that P=64, which means that

Also since "the length is to be 14cm more than the width", we can say that

So plug this into to get

Distribute.

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

Since and , this means that

So

So the length is 23 and the width is 9. This means that the area is

So the area is 207 square cm.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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