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

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 the area of a rectangular frame?

To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

What is dimension of a rectangle?

A rectangle has two dimensions: we can measure its length and, perpendicular to that, its width. The interior of a triangle or oval is also two-dimensional.

How do you calculate the dimensions?

Measure any two sides (length, width or height) of an object or surface in order to get a two-dimensional measurement. For example, a rectangle that has a width of 3 feet and height of 4 feet is a two-dimensional measurement. The dimensions of the rectangle would then be stated as 3 ft. (width) x 4 ft.

What are dimensions of rectangle?

How do you find the length of a rectangle when given the perimeter?

In the same way, if the perimeter and the width are known, the length can be calculated using the formula: Length(L) = P/2 – w. Where P = perimeter of the rectangle; and w = width of the rectangle.

How do you find an area of a square?

Area of a square = Side × Side = S2 Algebraically, the area of a square can be found by squaring the number representing the measure of the side of the square. Now, let us use this formula to find the area of a square of side 7 cm. We know that the area of a square = Side × Side.

How do you find the perimeter of a rectangular frame?

To find the perimeter of a rectangle, add the lengths of the rectangle’s four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

What is perimeter of the frame?

The perimeter is the total outside measurement of a shape, as if you were walking around the outside border. So, if the shape is a rectangle and the outside measurements are 10 inches by 8 inches, you add up the 4 sides to come up with your answer.

What is the formula to find the perimeter of a rectangle?

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 P = a + b + a + b = 2 × a + 2 × b = 2 × (a + b) P = a + b + a + b = 2 × a + 2 × b = 2 × (a + b)

How do you find the length and width of a rectangle?

where a a and b b are the length and width of the rectangle, respectively. Length of Diagonal of Rectangle Formula: The diagonal of a rectangle is determined by the following formula d = √a2 + b2 d = a 2 + b 2 where a a and b b are the length and width of the rectangle, respectively.

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.

What are the units of area and perimeter?

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.