Question

the perimeter of a rectangle of a rectangular field is 76 ft. The length is 12 ft longer than the width. Find the fields dimensions

Answer 1

Answer:

The length is 25 and the width is 13. (25,13)

Step-by-step explanation:

the formula for perimeter is l+l+w+w=76 or 2l+2w=76

and since we know that the length is 12 more than the width, we can create an equation. w+12=l (-l+w=-12)

solve with elimination method:

2l+2w=76

2(-l+w=-12)

2l+2w=76

-2l+2w=-24

4w=52

w=13

Now that we know w=13, add 12 to the width and you get your width (25)

You can check this with the formula 2l+2w=76

2(25)+2(13)=76

50+26=76

and

w+12=l

13+12=25

Hope this helps!

Answer 2

The dimensions of the field will be 13 ft and 25ft.

The perimeter of a rectangle is given as: = 2l + 2w

• Length = w + 12
• Width = w

Therefore, the perimeter will be:

2(w + 12) + 2w = 76

2w + 24 + 2w = 76

4w = 76 - 24.

4w = 52

w = 52/4.

w = 13

Width = 13 ft

Length will be: = w + 12 = 13 + 12 = 25

Therefore, the dimensions of the field will be 13 ft and 25ft.

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