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Chapter 4: Q 111 (page 405)

The perimeter of a toddler play area is 100feet. The length is ten more than three times the width. Find the length and width of the play area.

Short Answer

Expert verified

The length and width of the play area are 40and 10 feet respectively.

Step by step solution

01

Given information is,

The perimeter of a toddler play area is 100feet.

The length is ten more than three times the width.

02

To find:

The length and width of the play area.

03

Let us consider,

lrepresents the length of the play area.

wrepresents the width of the play area.

The perimeter of a toddler play area is 100feet.

From the above lines the obtained equation is,

2l+w=100l+w=50

The length is ten more than three times the width.

So,l=10+3w.

04

From the step 3,

The obtained linear equations are,

l+w=50l=10+3w

Now substitute l=10+3win the equation l+w=50.

10+3w+w=5010+4w=504w=50-104w=40w=404w=10

05

Find the value of l.

Now substitute the value of win the equation l+w=50.

l+10=50l=50-10l=40

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