# Can the perimeter be 18 and still the area is 42?

For a given perimeter, the greatest possible area is enclosed by
a circle.

A circle with a circumference of 18 has a diameter of (18/pi) and a
radius of (9/pi).

Its area is (pi R2) = (pi 92/pi2) = 81/pi = 25.78 (rounded)

So an area of 42 cannot be enclosed by a perimeter of 18.

### What is the perimeter for a polygon that's area is 20sq. units?

Even if you knew how many sides the polygon has, you still could not calculate its perimeter with that much information. Examples: -- An equilateral triangle with area of 20 has perimeter of 20.3885 . -- A square with area of 20 has perimeter of 17.889 (rounded). -- A rectangle with area of 20 can have any perimeter more than 17.889 . 4 by 5 . . . . area = 20, perimeter = 18…

### What is the relationship between perimeter and area?

Perimeter is the distance AROUND any particular object where area is the amount of space inside the object (2dimentional). Let's say you have a yard 10 feet long, by 11 feet wide. The perimeter is the distance AROUND your yard or 10+10+11+11 = 42ft The AREA is the amount of space inside or L*W or 10*11 = 110ft^2 Suppose I change the dimensions of the yard without changing its perimeter (42 ft) and see what…

### What is the perimeter of 42 ft squared to the nearest hundredth?

The area doesn't tell you the shape or the perimeter. Even if you restrict it to rectangles, there are an infinite number of those, all with different perimeters, that all have 42 ft squared of area. Here are a few of them. ALL of the areas are 42 ft squared. 42 ft by 1 ft (perimeter = 86 ft) 21 ft by 2 ft (perimeter = 46 ft) 14 ft by 3 ft (perimeter =…

### What is the area of a rectangle with a perimeter of 42cm?

You can't tell the area from knowing the perimeter. There are an infinite number of different rectangles, all with the same perimeter, that all have different areas. Here are a few rectangles that all have perimeters of 42. The last number after each one is its area: 1 cm by 20 cm . . . . . 20 square centimeters 2 x 19 . . . . . 38 3 x 18…

### What is the area of a rectangle whose perimiter is 42 cm?

The area can't exactly be determined here since we don't have enough information about the sides of the rectangles! We only know that the perimeter of the rectangle is 42 cm. Then: P = 2(l + w) where l is the length and w is the width. 42 = 2(l + w) 21 = l + w Solve for either w or l to get... w = 21 - l So by the area of…

### What has a bigger area a square or a circle with a 42 centimeter perimeter?

Beautiful problem ! The circle has more area. If you have a circle and a square, with the circumference of the circle equal to the perimeter of the square, then the area of the circle is always (4/pi) = 1.27324 times as much as the area of the square. If you have some length of fence in your warehouse, the most land you can enclose with it is to set it up in a circle.

### What is the perimeter and area of a semi circle that has a radius of 4 inches?

The circumference of a circle is 2{pi}r. So, for a semicircle it is half this, that is {pi}r. The perimeter of the semicircle is the round bit ({pi}r) plus a diameter of the circle (2r) perimeter = {pi}4 + 2 x 4 ~= 20.6 in Area of a circle is {pi}r2, so for a semicircle it is half this. area ={pi}42 / 2 ~= 25.1 in2.

### What is the perimeter of a rectangle with length 42 inches?

A rectangle has two dimensions, length and width. You haven't said what the width is. The perimeter is the distance around the rectangle. Imagine going round it. You would go 42 inches, then a width, then another 42 inches, then another width. In general, the perimeter of a rectangle is twice its length plus twice its width.