Question

You want to paint a wall that is $8\frac{3}{4}$ feet high and $11\frac{1}{4}$ feet long. You have a can of paint that will cover 200 square feet with one coat.
a. Find the area of the wall.
b. Interpret If you want to apply two coats of paint, do you have enough paint? Explain.

Answer 1

Answer: a) 98.44 sq. feet, b) Yes they have enough paint.

Step-by-step explanation:

Since we have given that

Length of wall = $11\dfrac{1}{4}=\dfrac{45}{4}\ feet$

Width of wall = $8\dfrac{3}{4}=\dfrac{35}{4}\ feet$

a. Find the area of the wall.

So, Area of wall would be

$Length\times breadth\\\\=\dfrac{45}{4}\times \dfrac{35}{4}\\\\=\dfrac{1575}{16}\\\\=98.44\ ft^2$

b. Interpret If you want to apply two coats of paint, do you have enough paint? Explain.

Area of wall can be painted with one coat = 200 sq. feet

We have area of wall = 98.44 sq. feet

Area for two coats would be

$98.44\times 2=196.88\ ft^2$

Since 200 < 196.88.

So, it is enough to apply two coats of paint.

Hence, a) 98.44 sq. feet, b) Yes they have enough paint.