# If a perimeter of a room is 78 feet, what is the area of the floor of the room?

If a perimeter of a room is 78 feet, what is the area of the floor of the room?

## This Post Has 9 Comments

1. evandlubbep6bsvu says:

380.25 ft²

Explanation:

perimeter of a room

P = 78 ft

And formula for Perimeter is

P = 4 L            ( equation no 1 )

Put the value of P in equation no 1.

78 = 4 L

L = 78/4

L = 19.5

As we know that if the room is square then it has 4 equal sides .

so the Area will be :

A = L × W

A = 19.5 × 19.5

A = 380.25 ft²

2. aydanbelle says:

324 square feet

Step-by-step explanation:

Hello

The equation to find the area of ​​the rectangle is simply A = h * b. This means that the area of ​​a rectangle is equal to the product of its height (h) by its base (b), or of its length by its width,on the other hand the perimeter of the rectangle is the total sum of all its sides P=2L+2W

Step

find the value of w

Let

L=2w+3

w=w

P=2L+2W

P=2(2w+3)+2w

P=4W+6+2W

P=6W+6

we know the perimeter is 78 feet

78=6w+6

isolating W

78-6=6W

72/6=W

W=12

step 2

find the area

A=l*w

let

l=2w+3

l=2(12)+3

length =27

w=w=12

width =12

A=l*w

A=27 feet * 12 feet

A=324 square feet

Have a great day

3. Meliiiii says:

The are of the floor of the room is 324 square feet.

4. 19greenlymoos says:

5. kashbaby says:

The area of the room would be 380.25 feet

78 / 4 = 19.5 (you do this to figure out how long each side of the room is)

19.5 * 19.5 = 380.25 feet (length times width equals area. Each side of the room is 19.5 feet so you would multiply 19.5 by 19.5)

6. Queenashley3232 says:

Is it a square room?

7. XAINEE says:

39 because you divide 2 by 78.

8. deeoki3384 says:

380.25 is the answer because 78÷4=19.5 then you multiply 19.5×19.5=380.25

9. dextor1606 says:

The perimeter doesn't tell you the area, and neither of them
can be calculated by knowing the other one.

Check this out:

Dimensions   Perimeter   Area      .

1  by  38              78          38 square feet
2  by  37              78          74 square feet
3  by  36              78         108 square feet
5  by  34              78         170 square feet
10  by  29            78         290 square feet
15  by  24            78         360 square feet
17  by  22            78         374 square feet
19  by  20            78         380 square feet
19.5 by 19.5        78          380.25 square feet

Nine same perimeters, nine different areas !

Here's one more ... a long skinny one:

1 inch by 38ft 11in     Perimeter = 78 ft.    Area = 3.24 square feet.