Question

ok.. when i ask for help it means its important and i need help asap... so someone please help me.. i even metal the people who help me.

A holiday resort has two rectangular-shaped pools, including a swimming pool for adults and a wading pool for children. The two pools are similar in shape and have dimensions, in meters, as shown in the figure below.

A rectangular swimming pool has length 30 and width 20. A similar rectangular wading pool has length 2x + 2 and width 2x.

What is the value, in meters, of x?

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Answer 1

I assume by similar that the two rectangular pools are geometrically similar.

That means that the corresponding sides are in proportion.

Answer 2

To apply that to your problem, set up the proportion as follows:

30 is to (2x + 2) as 20 is to (2x)

30/(2x + 2) = 20/2x

You can crank out the algebra for solving for x by hand and brain.

If you are allowed to use technology,

go to this site: http://www.wolframalpha.com/

and enter this: 30/(2x + 2) = 20/(2x)

Answer 3

If you prefer to work by hand and mind