What is the length of a rectangle if its length is 3cm more than the width and the area is 70cm?

So w2+3w−70=0 has two solutions, viz w=7 and w=−10 . Since we’re talking about lengths, we can ignore the negative solution leaving w=7 . That is the width is 7cm and the length is 10cm .

What is the formula to find the length and width of a rectangle?

A = L * W, where A is the area, L is the length, W is the width or breadth. NOTE: When multiplying the length by the width, always ensure you work in the same unit of length. If they are given in different units, change them to the same unit. Let’s work out a few example problems about the area of a rectangle.

What are the steps to derive the quadratic formula?

Steps

1. Start with the standard form of a general quadratic equation.
2. Subtract.
3. Divide both sides by.
4. Complete the square.
5. Write the right side under a common denominator.
6. Take the square root of each side.
7. Isolate x {\displaystyle x} by subtracting.
8. Write the right side under a common denominator.

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 to calculate the length and width of a rectangle?

Online calculator to calculate the dimensions (length and width) of a rectangle given the area A and perimeter P of the rectangle. The formulas for the perimeter P and the area A of the rectangle are used to write equations as follows: P = 2 * L + 2 * W A = L * W

What are the outputs of the rectangle problem?

The outputs are the width, length and diagonal of the rectangle. There are conditions under which this problem has a solution (see formulation of problem below). Let P be the perimeter of a rectangle and A its area. Let W and L be, respectively, the width and length of the rectangle.

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.