A kitche sa tabletop that is a rectangle 24 in long and 18 in wide.Rita is an interior designer and wants to cover the tabletop in small tiles.She knows the area each bag of tiles covers, but only in square centimeters.(a) Find the area of the tabletop in square centimeters. Do notround intermediate computations and round your finalanswer to two decimal places. Use the table of conversionfacts, as needed.cm(b) The designer wants to cover the tabletop with tiles. Shedoesn't have any to begin with and she can't buy partialbags of tiles. Each bag of tiles covers 260 cm². How manywhole bags of tiles does the designer need to buy tocompletely cover the tabletop?bags(c) If each bag of tiles costs $3.76, how much will she need tospend on tile? Write your answer to the nearest cent.ExplanationCheckConversion facts for length2.54 centimeters (cm)= 30.48 centimeters (cm)≈ 0.91 meters (m)1 inch (in)1 foot (ft)1 yard (yd)1 mile (mi)XNote that means "is approximately equal to".For this problem, treat as if it were = .1.61 kilometers (km)5?I need help with this math problem.

Respuesta :

Given: a tabletop that is a rectangle 24 in long and 18 in wide.

Find: (a) the area of the tabletop in square centimeters

(b) The designer wants to cover the tabletop with tiles. She doesn't have any to begin with and she can't buy partial bags of tiles. Each bag of tiles covers 260 cm². number of bags of tiles does the designer need to buy to completely cover the tabletop

(c)If each bag of tiles costs $3.76, how much will she need to spend on tiles.

Explanation: (a)

[tex]1\text{ inch= 2.54cm}[/tex]

so the length of the tabletop in cm will be

[tex]24\times2.54=60.96cm[/tex]

and the breadth of the tabletop in cm will be

[tex]18\times2.54=45.72cm[/tex]

the area of the tabletop will be

[tex]\begin{gathered} l\times b \\ =60.96\times45.72 \\ =2787.09cm^2 \end{gathered}[/tex]

(b) The designer wants to cover the tabletop with tiles and she can't buy partial bags of tiles. Each bag of tiles covers 260 cm² so the numbe rof bags designer needs to buy to cover the tabletop is

[tex]\begin{gathered} \frac{2787.09}{260} \\ =10.71 \end{gathered}[/tex]

it means that designer needs to buy 11 bags of tiles to cover the tabletop.

(c) If each bag of tiles costs $3.76.the the total cost will be equal to

[tex]3.76\times11=41.36\text{ \$}[/tex]