# Geometry

posted by .

If the size of a rectangle's area is twice as large as the size of it's perimeter, and the length of one of its sides is 4.5, what is the length of the other side?

• Geometry -

one side --- 4.5
other side ---- x
area = 4.5x

perimeter = 2x + 9

translate " size of a rectangle's area is twice as large as the size of it's perimeter " into

4.5x = 2(2x+9)
4.5x = 4x + 18
.5x = 18
x = 36

the other side is 36

check:
area = 4.5(36) = 162
perimeter = 2(4.5+36) = 81

is 162 twice 81 ??? Sure is !

## Similar Questions

1. ### basic geometry

A rectangle has width the same asa a side of a square whose perimeter is 20m.the length of the rectangle is 9m. Find the perimeter of this rectangle. 34. The with of a rectangular picture is on-half the length . The perimeter of the …
2. ### Algebra I

The expression 2(l+w) may be used to find the perimeter of a rectangle. What are the length and width of a rectangle if the area is 13 1/2 square units and the length of one side is 1/5 the measure of the perimeter?
3. ### Optimization (Math)

The mayor of a village wants to build a library of which the windows have a shape of a rectangle on top of a square. The total perimeter of each window is of P meters and varies depending on each windows size. Find the dimensions of …
4. ### Math

The area of a rectangle is shown below The area of the rectangle is 56 Which of the following are possible values for the length and width of the rectangle?
5. ### Calculus

A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the domain of P. (Assume the length of the rectangle is larger than its width. Enter your answer using interval …
6. ### Algebra 2

Solving By Factoring: The length of the side of a large square is 1 cm less than twice the length of the of the side of a smaller square. The area of the large square is 33cm^2 more than the area of the small square. Find the length …
7. ### Algebra 2

the perimeter of a triangle is 19 cm. if the length of the longest side is twice that of the shortest side and 3cm less than the sum of the lengths of the other two sides, find the length of the three sides
8. ### Math

The perimeter of a rectangle is 200 m. If one of its sides is longer than the other side by 16 m, find the length of each of the sides
9. ### Math

The perimeter of a rectangle is 200 m. If one of its sides is longer than the other side by 16 m, find the length of each of the sides
10. ### Math intermediate algebra

The perimeter of a triangle is 33 inches. The sum of the length of the longest side and twice the length of the shortest side is 31 inches. Twice the length of the longest side minus the sum of the lengths of the other sides is 12 …

More Similar Questions