Answer:

These both say pretty much the same thing, so this table is 9 feet long and 3 feet wide.

Step-by-step explanation:

So we know the formula for area is:

A=LW

And perimeter is:

P=2L+2W

We know area is 27 and perimeter is 24, so our equations are:27=LW

24=2L+2W

To solve as a system of equations, lets isolate L on the second equation.

24 = 2L + 2W

24 -2W = 2L

12 - W = L

And Plug this into the first equation

27 = (12-W)W

27 = 12W - W2

This looks like a quadratic, so let's bring everything to the left side and factor.

W2 - 12W + 27 = 0

(W-9)(W-3)=0

W=9 or W=3

Plug both of these into 27=LW to find L

27=9L

L=3 when W=9

or 27=3L

L=9 when W=3

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Answer:

9cm and 3cm

Step-by-step explanation:

A = 27 sq. cm.

P = 24 cm

A =lw

P = l + w

Now we have two values for w, either 3 or 9, by substituting it to the formulas: