Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards long and 1 1/3 yards wide how many pieces of sod will Jim need to buy to cover his backyard with sod

Sagot :

carlosego
By definition, the area of a rectangle is given by:
 [tex]A = (w) * (l) [/tex]
 Where,
 w: width of the rectangle
 l: length of the rectangle
 Substituting values we have:
 [tex]A = (10 \frac{2}{5} ) * (15 \frac{5}{6}) A = 164.7[/tex]
 Then, the area of each piece of sod is:
 [tex]A = (1 \frac{1}{3} ) * (1 \frac{1}{3}) A = 1.8[/tex]
 Thus, the number of pieces is given by the division of both areas:
 [tex]N = (164.7) / (1.8) N = 91.5[/tex]
 Rounding the nearest whole we have:
 [tex]N = 92 [/tex]
 Answer:
 Jim will need to buy 92 pieces of sod to cover his backyard
TaeKwonDoIsDead

Answer:

93 pieces


Step-by-step explanation:

To cover his backyard with sod, he needs to cover the area of the backyard.

His backyard is a rectangle, and area of a rectangle is given as:

[tex]A=lw[/tex]

Where,

[tex]l[/tex] is the length, and

[tex]w[/tex] is the width

So, the area of Jim's backyard is [tex]l*w=15\frac{5}{6}*10\frac{2}{5}=\frac{95}{6}*\frac{52}{5}=\frac{494}{3}[/tex] square yards.


The area of each sods are solved using the area of the rectangle formula. So we have [tex]l*w=1\frac{1}{3}*1\frac{1}{3}=\frac{4}{3}*\frac{4}{3}=\frac{16}{9}[/tex] square yards as the area of each sod.


To find HOW MANY of these sods we would need to cover the whole backyard, we divide the backyard area by each sod area:

[tex]\frac{\frac{494}{3}}{\frac{16}{9}}=\frac{741}{8}=92.625[/tex]

Since, fractional sods can't be bought, Jim has to buy 93 sods to cover his backyard.


Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.