Two rectangular lawns are similar shapes.
One has an width of 550 feet and one of the width of 250 feet. The bigger lawn has an area
of 181,500 square feet. Find the area of the smaller lawn

The answer to your question is Area = 37500 ft²

Step-by-step explanation:

Data

lawn 1                                       lawn 2

width = 550 ft                          width = 250 ft

Area = 181500 ft²                     Area = ?

Process

1.- Find the length of lawn 1

Area = length x width

-solve for length

length = Area/width

-Substitution

length = 181 500 ft²/ 550

-result

length = 330 ft

2.- Find the length of lawn 1 using ratios and  proportions

                     550 : 330 :: 250 : x

                      x = (250 x 330) / 550

                      x = 150 ft

3.- Find the area of lawn 2

-Substitution

Area = 250 x 150

-Result

Area = 37500 ft²

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.