Mr. cooper is building a playset in his backyard for his kids. he has a made a scale drawing of the playset to him estimate the amounts of building materials he needs to purchase. part of the playset includes a rectangular sandbox, which has a length of 5 1/2 feet and a width of 7 1/2 feet. on the scale drawing, the length of the sandbox is 2 3/4
a. the scale used in the drawing is = 1 foot.
b. on the scale drawing, the width of the sandbox is inches.
c. if mr. cooper decides to make a new scale drawing of the playset, in which he uses a scale of 1/4 inch = 1 foot, all of the dimensions in the old drawing will be multiplied by a factor of

If Mr. Cooper decides to make a new scale drawing of the play set, in which he uses a scale of inch = 1 foot, all of the dimensions in the old drawing will be multiplied by a factor of ⇒ the last answe

Step-by-step explanation:

* Lets study what is the meaning of the scale factor

- To find a scale factor between two similar figures

# Find two corresponding sides and write the ratio of the two sides.

# If you begin with the smaller figure, your scale factor will be less

than one.

# If you begin with the larger figure, your scale factor will be greater

than one

* Now lets solve the problem

- The rectangular sandbox, has a length of 5 feet and a width of

7 feet

- On the scale drawing, the length of the sandbox is 2 inches

- The actual sandbox and the drawing sandbox are similar

∵ The length of the actual sandbox is 5 feet

∵ The drawing length is 2 inches

∵ 1 foot = 12 inches

∴ The scale factor is 2/(5 × 12) = 1/30

* That means each actual dimensions will multiply by 1/30 to find

the drawing dimensions

∴ The drawing length of the sandbox = 5 × 12 × 1/30 = 2 inches

∴ The drawing width of the sandbox = 7 × 12 × 1/30 = 2.8 inches

* All of the dimensions in the old drawing will be multiplied by

a factor of 1/30

Kaneppeleqw and 13 more users found this answer helpful

THANKS

6

3.0

(7 votes)

Still have questions?

FIND MORE ANSWERS

ASK YOUR QUESTION

New questions in Mathematics

−0.8x−8.3=12.7 Enter your answer as a decimal or as a mixed number in simplest form in the box. x = ??

The student council is making and selling square patchwork quilts to raise money for the homecoming dance. Which of the following number of squares ca…

John read the first 114114114 pages of a novel, which was 333 pages less than \dfrac13 3 1start fraction, 1, divided by, 3, end fraction of th…

Solve for bbb. -3b+2.5 = 4−3b+2.5=4

please help asap asap

Jake was taking a tip from to san Antonio. the total distance of the trip is 274 miles. after driving 107 miles he stopped for lunch. how much farther…

please help asap asap

Find the midpoint of the coordinates (2, 4) and (8, 16).

please help asap asap

what is 7÷45 and 3÷31

LOAD MORE

Previous

Next

Ask your question

its 4 because 2 times 2 is 4, if you double the number two you get four

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.