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?
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 = 120^2 + 60(120) + 900
A = 22500 cm^2
hope this helps~ :)
..btw, pinoy ka din ba? (na-curious ako dahil sa mang Pedring na pangalang pinoy). But you don't have to answer if you don't want to. :)
yes, pinoy ako. btw, salamat :)
*wait. I had a correction:
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. x__x
..haha wow ang galing naman,, fellow Filipino :D :D :D
To find the expression that represents the area of the table, we need to determine the length of its side in terms of its height.
Given that the length of the square table is 30 cm longer than its height, we can let the height be represented as "h" cm.
Therefore, the length of the square table would be "h + 30" cm.
The area of a square is equal to the length of its side squared. So, the expression representing the area of the table is:
Area = (h + 30)^2
Now, if the height of the table is 90 cm, we can substitute the value of "h" in the expression to calculate the area.
Area = (90 + 30)^2
Area = 120^2
Area = 14,400 sq cm
Therefore, if the table has a height of 90 cm, the area would be 14,400 square centimeters.