The area A, in square meters, of a rectangle with a perimeter of 200 meters is...

Question

Question

The area A, in square meters, of a rectangle with a perimeter of 200 meters is given by the equation

A = 100w − w², where w is the width of the rectangle in meters. What is the width of a rectangle if its area is 900 m²?

Answer 1

Answer #1

A (area) = 900 m²

w = width

( bifurcate "-100w" in two parts in such way that its sum equals to -100w and its coefficient multiplication is equals to 900)

Thus,

Thus, width of above rectangle is either 90m or 10m.

If you consider its width is 90m then its length would be 10m and vice versa.

Hope this will help, please do comment if you need any further explanation. Your feedback would be appreciated.

Answer 2

Similar Homework Help Questions

If the perimeter of a rectangle is 40 cm and the area is 84 square cm,...

If the perimeter of a rectangle is 40 cm and the area is 84 square cm, then what are the dimensions of the rectangle? The width, or shorter side is ___cm The length, or longer side is ____ cm
If the perimeter of a rectangle is 48 cm and the area is 140 square cm,...

If the perimeter of a rectangle is 48 cm and the area is 140 square cm, then what are the dimensions of the rectangle? The width, or shorter side is cm The length, or longer side is cm
If the perimeter of a rectangle is 50 cm and the area is 156 square cm,...

If the perimeter of a rectangle is 50 cm and the area is 156 square cm, then what are the dimensions of the rectangle? The width, or shorter side is___ cm The length, or longer side is ___ cm

If the perimeter of a rectangle is 34 cm and the area is 72 square cm,...

If the perimeter of a rectangle is 34 cm and the area is 72 square cm, then what are the dimensions of the rectangle? The width, or shorter side is ___ cm The length, or longer side is___ cm
If the perimeter of a rectangle is 48 cm and the area is 135 square cm,...

If the perimeter of a rectangle is 48 cm and the area is 135 square cm, then what are the dimensions of the rectangle? The width, or shorter side is____ cm The length, or longer side is ___ cm
If the perimeter of a rectangle is 26 cm and the area is 40 square cm,...

If the perimeter of a rectangle is 26 cm and the area is 40 square cm, then what are the dimensions of the rectangle? The width, or shorter side is___ cm The length, or longer side is___ cm

please answer all C. 2. What rectangle has the smallest perimeter, for a given area? Suppose...

please answer all C. 2. What rectangle has the smallest perimeter, for a given area? Suppose you want a rectangle with area 200. What choice of length L and width W will give the smallest perimeter? a. Sketch a rectangle and label it as having length L and width W. b. Write the area in terms of length and width: A = Write the perimeter in terms of length and width: P = d. If L = 200 and W...
Find the width (in meters) of a rectangle with perimeter 15.4 meters and length 3.4 meters.

Find the width (in meters) of a rectangle with perimeter 15.4 meters and length 3.4 meters.
20. The perimeter of a rectangle is 40 inches, and its area is 96 in. Write...

20. The perimeter of a rectangle is 40 inches, and its area is 96 in. Write and solve a non- Sail linear system of equations to find the length and the width of the rectangle. Answer with a complete sentence. Show all work tot een hoe best

You may remember that the perimeter of a rectangle is P=2(W+L) where W is the width...

You may remember that the perimeter of a rectangle is P=2(W+L) where W is the width and L is the length. Suppose that the perimeter of a rectangle is 44 feet, and the length is 12 feet more than the width. Find the width of the rectangle, in feet.