Question

Ivan is painting 3 walls in his living room. Each wall measures 9 3/4 feet tall by 14 1/4 feet wide. Ivan needs to estimate the total area he will paint in order to determine the amount of paint to purchase. Which expression best represents the estimated area in square feet that Ivan will paint?​

Answer 1

Answer:

The estimated area is $416\frac{13}{16}\ ft^{2}$

Step-by-step explanation:

we know that

To estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3

step 1

Convert the dimensions to an improper fractions

$9\frac{3}{4}\ ft=\frac{9*4+3}{4}=\frac{39}{4}\ ft$

$14\frac{1}{4}\ ft=\frac{14*4+1}{4}=\frac{57}{4}\ ft$

step 2

Find the area of one wall

$(\frac{39}{4})*(\frac{57}{4})=\frac{2,223}{16}\ ft^{2}$

step 3

Multiply the area of one wall by 3

$(3)*\frac{2,223}{16}=\frac{6,669}{16}\ ft^{2}$

step 4

Convert to mixed number

$\frac{6,669}{16}=\frac{6,656}{16}+\frac{13}{16}=416\frac{13}{16}\ ft^{2}$