Geometry

# If a figure has a perimeter of 24 inches what is it's area?

123 ###### 2011-03-03 16:12:32

Perimeter doesnt exactly matter.

unless its a square.

you take one sides length

and multiply by another side.

if sides are equal and parallel to another

and there are only 4 sides.

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What he's trying to say is:

You can't tell. Perimeter doesn't tell you the area. There are an infinite number of

different shapes with different dimensions and different areas that all have the

same perimeter of 24.

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## Related Questions   The area of a regular hexagon with a 24-inch perimeter is about 41.57 square inches. 36 inches. If the perimeter is 24 inches then the side is 24/4 = 6 inches. The area is side length x side length = 6 x 6 = 36 inches. Perimeter is the measurement of all sides of a figure. For example, if you have a rectangle that has 2 sides of 4 inches long and 2 sides of 8 inches long, the perimeter is the total of all sides, which in this case is 24 inches. If that's a rectangle, the perimeter is 24 inches and the area is 27 square inches. An octagon is an eight-sided figure. If a regular octagon has a perimeter of 24 inches, then each side will be 24 / 8 = 3 inches. Its perimeter will be 24 inches and its area will be 36 square inches.  That's oddly worded. You can't find the area of a perimeter. Either way, we need to know how many sides there are. A square with 6-inch sideshas a perimeter of 24 inches and an area of 36 square inches. You can't tell. The area doesn't tell the dimensions or perimeter.If the rectangle's area is 32 square inches, here are ten different perimeters that it could have.ALL of these have 32 square inches of area, and there are many, many more:0.8 x 40 . . . . . . Perimeter = 81.6 inches1 x 32 . . . . . . . Perimeter = 66 inches1.25 x 25.6 . . . Perimeter = 53.7 inches1.6 x 20 . . . . . . Perimeter = 43.2 inches2 x 16 . . . . . . . Perimeter = 36 inches2.5 x 12.8 . . . . Perimeter = 30.6 inches3.2 x 10 . . . . . Perimeter = 26.4 inches4 x 8 . . . . . . . Perimeter = 24 inches5 x 6.4 . . . . . Perimeter = 22.8 inches51/3 x 6 . . . . Perimeter = 222/3 inches  6+8+10=24The perimeter of the triangle is 24 inchesThe perimeter is all the side lengths added up, so that triangle would have a perimeter of 24 inches.6+8+10=24 inches Area = (length) x (width)72 = (24) x (width)Width = 72/24 = 3Perimeter = 2 x (length + width) = 2 x (24 + 3) = 2 x (27) = 54 The dimensions of a square with an area 36 square inches are:Side lengths: Six inchesPerimeter: 24 inchesDiagonal measurement: 8.485 inches  The perimeter is 24 inches. Each side is 6 inches. (8 times the length of one side) minus (24 inches) = 48 - 24 = 24 inches Perimeter of a rectangle (P) = 2b+2h = 2*24+2h=114 48+2h=114 2h=66 h=33" Area of a rectangle (A) = b*h = 24*33= 1584 sq. in. Depending on the figure given you can find the area from the perimeter For example- If you have a square with a perimeter of 24, you divide 24 by 4 because all the sides of a square are congruent. In turn you will 6 as each side of the square The formula for the area of a square is side2 so you get 62 which is 36. The area is 36 area = base X height if rectangle is 4 inches by 8 inches it the area would be 32 inches perimeter = sum of the length of the 4 sides...so in the rectangle above you have 2 sides at 4 inches and 2 sides at 8 so the total of those 4 sides will be 24 inches The area of a hexagon with a perimeter of 24 feet is about 41.6 square feet.   For any square :- Area = side times side Perimeter = side times 4 ###### Math and ArithmeticGeometryJobs & Education Copyright © 2020 Multiply Media, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.