If the base is x+5, what's the height, area and perimeter of a square?

1 Answer
Rafael
Sep 23, 2015

Height: x+5
Area: x^2+10x+25
Perimeter: 4x+20

Explanation:

A square is a rectangle whose sides are all equal.

Height
We are told that the base of the square is x+5. Because all sides of a square are equal, its height must also be color(blue)(x+5).

Area
To get the area of a square, you simply have to get the square of one of its side (because all of its sides are equal). That would be color(blue)((x+5)^2) or color(blue)(x^2+10x+25).

Perimeter
The perimeter is the sum of all of the sides of a polygon. Since a square has 4 sides and all of its sides are x+5, we can get the perimeter by multiplying x+5 by 4. The perimeter is color(blue)(4(x+5)) or color(blue)(4x+20).

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