A new homeowner needs to determine the length of his rectangular backyard before he goes to the store for fencing. He knows that the area of the yard is 51 square meters and that the width is 5.2 meters longer

than the length. Which equation could be solved to determine the dimensions of the backyard, where the length

is / and the width is w?

0=w2+5.2w -51

o

0=12+5.21-51

4w + 10.4 = 51

о

41 +10.4 = 51

The equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4

Step-by-step explanation:

As given,

The backward is rectangular in shape

Also , we know that

Area of rectangle = 2 ( Length + Breadth )

Also, given,

Breadth of the backyard = 5.2 + Length of the backyard

Let

length of the backyard = l

Breadth of the backyard = w

∴ we get

w = 5.2 + l

⇒l = w - 5.2

and

Area = 2 ( l + w)

⇒51 = 2( w - 5.2 + w)

⇒51 = 2 ( 2w - 5.2)

⇒51 = 4w - 10.4

So, the equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4

By solving we get

4w = 51 + 10.4

⇒4w = 61.4

⇒w = = 15.35

⇒ w = 15.35

⇒ l = w - 5.2 = 15.35 - 5.2 = 10.15

⇒l = 10.15

So the dimensions of the backyard = l × b = 10.15 m × 15.35 m

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The total nom of  code that can be used is equal to 5+3 = 8

The solution is in the following image

The answer is in the image 

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581