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

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

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

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

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

Show the picture and i will help you

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)

Is it a square room?

39 because you divide 2 by 78.

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

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.