Posted by **Sella** on Wednesday, July 11, 2012 at 10:42am.

mang pedring wanted to construct a square table such that the length of its side is 30 cm longer than its height.

Suppose the area of the table is 2.25m^2, what would be its height?

- algebra -
**Jai**, Wednesday, July 11, 2012 at 10:58am
*I had a correction for the last question you posted:

Q: mang pedring wanted to construct a square table such that the length of its side is 30 cm longer than its height.

What expression represents the area of the table? Suppose the table is 90 cm high what would be the area?

A:

Let x = height of table

Let x+30 = length of table

Recall that area of square is given by

A = L^2

where L = length of one side.

substituting,

A = (x+30)^2

A = x^2 + 60x + 900

If table is 90 cm high, then the length of square is 120 cm. Substituting this to the equation for area,

A = 90^2 + 60(90) + 900

A = 14400 cm^2

*sorry about that! The x value substituted must be 90, not 120.

=====

~for the current question,

Let x = height of the table

let x + 30 = length of table

recall that area of a square is given by

A = L^2

where L = length of one side of square

substituting,

2.25 = L^2

L = sqrt(2.25)

L = 1.5 m

note that 30 cm = 0.3 m, thus,

1.5 = x + 0.3

x = 1.2 m (height)

hope this helps~ :D

- algebra -
**Sella**, Thursday, July 12, 2012 at 6:39am
lots of THANK YOU! maraming salamat! :D

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