Question

Rafael'sngular flower bed measures 122 cm long and 63 cm wide.He wants to cover the flower bed in mulch.He knows the area each bag of mulch covers, but only in square feet.(a) Find the area of Rafael's flower bed in square feet. Do notround intermediate computations and round your finalanswer to two decimal places. Use the table of conversionfacts, as needed.A²(b) Rafael wants to cover his flower bed with mulch. He doesn'thave any to begin with and he can't buy partial bags ofmulch. Each bag of mulch covers 2.2 ft². How many wholebags of mulch does Rafael need to buy to completely coverhis flower bed?bags(c) If each bag of mulch costs $3.64, how much will he need tospend on mulch? Write your answer to the nearest cent.$0ExplanationCheckConversion facts for length2.54 centimeters (cm)1 inch (in)1 foot (ft)30.48 centimeters (cm)1 yard (yd)0.91 meters (m)1 mile (mi) 1.61 kilometers (km)Note that means "is approximately equal tFor this problem, treat as if it were =5 i need help with this problem.

Answer 1

Solution

Step 1:

Convert cm to feet

1 foot = 30.48cm

Step 2

a)

$\begin{gathered} Area\text{ of the flower bed = Length }\times\text{ Breadth} \\ \\ =\text{ }\frac{122}{30.48}\text{ }\times\text{ }\frac{63}{30.48} \\ \\ =\text{ 8.27 square feet} \end{gathered}$

b)

$\begin{gathered} Number\text{ of mulch = }\frac{8.27}{2.2} \\ \\ =\text{ 3.76058} \\ \\ \approx\text{ 4} \end{gathered}$

Rafael needs to buy 4 bags of mulch to completely cover his flower bed.

c)

Each bag of mulch costs $3.64

$\begin{gathered} Cost\text{ for 4 bags = 4 }\times\text{ 3.64} \\ \\ =\text{ \ 14.56} \\ \\ =\text{ \ 15} \end{gathered}$