Question

A furniture company created an L-shaped table by removing part of a square table.

a. Write an expression that represents the area of the L-shaped table.
b. What are all the side lengths of the L-shaped table?
c. The furniture company decides to create another table with the same area, but needs this table to be rectangular. What are the possible dimensions of the rectangular table? Explain.

Answer 1

Explanation:

(a) Identity:
`(a-b)^(2)` =
`a^2 - 2ab + b^2`

Here,
`(a-b)^2` represents the perimeter of room.

a = 10p

b= n

∴ area of l-shaped table room =
`(10p-n)^2`

`(10p-n)^2 = (10p)^2 - 2(10p)(n) + n^2`

I will think about (b) and (c) part. Hope this much helps.