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?
Accepted Solution
A:
Answer:The estimated area is [tex]416\frac{13}{16}\ ft^{2}[/tex]Step-by-step explanation:we know thatTo estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3step 1Convert the dimensions to an improper fractions[tex]9\frac{3}{4}\ ft=\frac{9*4+3}{4}=\frac{39}{4}\ ft[/tex][tex]14\frac{1}{4}\ ft=\frac{14*4+1}{4}=\frac{57}{4}\ ft[/tex]step 2Find the area of one wall[tex](\frac{39}{4})*(\frac{57}{4})=\frac{2,223}{16}\ ft^{2}[/tex]step 3Multiply the area of one wall by 3[tex](3)*\frac{2,223}{16}=\frac{6,669}{16}\ ft^{2}[/tex]step 4Convert to mixed number[tex]\frac{6,669}{16}=\frac{6,656}{16}+\frac{13}{16}=416\frac{13}{16}\ ft^{2}[/tex]