How do you find the dimensions of a rectangle when the perimeter and area is given?

Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

1. Explanation: Let ‘A’ be area and ‘P’ be perimeter of the rectangle. Let ‘x’ be the width and ‘y’ be the length.
2. Perimeter = 2 (length + breadth) Hence, P = 2(x+y)
3. Area of a rectangle = Length × Breadth. Hence,

How do you find dimensions with perimeter?

Find the dimensions of the rectangle using the perimeter. For this example, suppose the perimeter is 22 feet and the length is 5 feet. Write down the perimeter equation for a rectangle: P = 2L + 2W where “P” stands for perimeter, “L” stands for the length and “W” stands for the width.

How do you find the missing area of a rectangle?

To find the area of a rectangle, multiply its width by its height. If we know two sides of the rectangle that are different lengths, then we have both the height and the width.

How to find the perimeter and area of a rectangle?

Let us derive the formula for its perimeter and area. Suppose a rectangle has length and width as b and a, respectively. From the definition of the perimeter we know, the perimeter of a rectangle, P = 2 ( a+b) units. where. “a” is the length of the rectangle. “b” is the breadth of the rectangle.

What is the distance around a rectangle called?

The distance around a rectangle is called the perimeter of the rectangle. It is usually denoted by P P. To find the perimeter of rectangle we add the lengths of its sides. Thus, the perimeter of a rectangle with the length of a a and the width of b b is

What is the length of the rectangle 7cm x 3 units?

So, two of the sides are 3 units long, and two of the sides are 1 unit long. The total number of units in the perimeter of the rectangle is 8. So, the length of the rectangle is 7cm/unit x 3 units, or 21 cm.

What units are used to measure the area of a rectangle?

In other words, the area of a rectangle is the product of its length and width. The perimeter is measured in units such as centimeters, meters, kilometers, inches, feet, yards, and miles. The area is measured in units units such as square centimeters (cm2) (c m 2), square meters (m2) (m 2), square kilometers (km2) (k m 2) etc.