The length of a pen is 5 more than its width.The perimeter is 26 m.Find the length and the width.

2 answers:

meriva3 years ago

4 0

P=2l+2w

Since it is given that P=26m, length is 5 more than its width (w+5), we'll work it out in the perimeter formula.

26=2(w+5)+2w
26=2w+10+2w
26=4w+10
4w=26-10
4w=16
w=4

Thus the width is 4m. Let's find the length.

l=w+5
l=4+5
l=9

The length of a pen is 9m.

Lynna [10]3 years ago

3 0

L = length

W = width

P = perimeter

P = 26m

L = W + 5 [the length is 5 more than the width]

The perimeter is the total of adding all of the side lengths together.

P = L + L + W + W or P = 2L + 2W

Because L = W + 5, you can substitute/plug in (W + 5) for "L" in the equation

P = 2L + 2W

P = 2(W + 5) + 2W Multiply 2 into (W + 5)

P = 2W + 10 + 2W Combine like terms

P = 4W + 10

Since you know the perimeter is 26, plug 26 in for "P"

26 = 4W + 10 Subtract 10 on both sides

16 = 4W Divide 4 on both sides

4 = W

Now that you know the width, you can find the length

L = W + 5

L = 4 + 5

L = 9

<u>The width is 4 m, the length is 9 m.</u>

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Ok so remember
order of simplification
PEMDAS
parenthaseese
exponents
multiplicaton or division whichever comes first
addition or subtraction whichever comes first

ok so remmeber work from the left to right parenthasees first and work from inside to outer parenthasees

so first one

innermost parenthasees first so
first step is 2-4
subtract 4 from 2

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if xy=0 then assume x and y=0 so
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