A rectangular playground has dimensions and area as shown below. Complete the work to find the dimensions of the rectangle.

x(4x + 5) = 450

4x2 + 5x = 450

4x2 + 5x – 450 = 0

(4x + 45)(x – 10) = 0

The rectangle has a width, x, of
, and a length of

Prove that the sum of two consecutive exponents of the number 5 is divisible by 30.if two consecutive exponents are 5n and 5n + 1, then their sum can be written as 30.

Jack has a piece of red ribbon that is two times as long as his piece of blue ribbon. he says that he can use two different equation to find out how long his piece of red ribbon is compared to his piece of blue ribbon is. is he correct? explain his reasoning

The volume of a cube-shaped shipping container is 13,824 cubic inches. find the edge length of the shipping container.