Question

For the remaining portion of the living room not covered by the new flooring, Michelle wants to paint the concrete. After carefully measuring the exposed concrete, she determines 6 square feet are already painted and the remaining unpainted area forms a square with side length x. The entire area of concrete, including the painted and unpainted portions, is a total of 31 square feet. Write an equation that could be used to find the unpainted square side length x

Answer 1

Answer:

$x^2 + 6 = 31$

Step-by-step explanation:

Given

$Painted = 6ft^2$

$Total = 31ft^2$

Dimension of unpainted area:

$Length = Width = x$ --- Square

Required

Determine an expression to solve for x

First, calculate the area of the unpainted space;

$Area = Length *Width$

$Area = x*x$

$Area = x^2$

The unpainted area, added to the painted area, equals the total area.

So, we have:

$Area + Painted = Total$

$x^2 + 6 = 31$

Hence, the expression is: $x^2 + 6 = 31$