Alandscape designer created a scale drawing of a bench that will be in a garden as shown. the actual width of the bench much is 6 feet, and the actual height is 3 feet. fill in each box to complete the following statements.

a. 1 inch = 3 feet

b. 1 inch

Step-by-step explanation:

In the figure attached the drawing of the bench is shown correctly.

a.

The drawing shows that the width of the bench is 2 inches. To get the scale we need to divide actual width by drawing width, in mathematical terms:

scale = 6 feet/2 inches = 3 feet/inch  

b.

If actual height is 3 ft and every inch represents 3 feet, then, the height of the scale drawing is 1 inch

if x = 1, then the answer is 3.5

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl