Question

Richard has a rectangular plot of land that is 525 feet long and y feet wide. He decides to build a fence around the plot. If the perimeter of the plot is 1,504 feet, find the value of y.

Answer 1

Answer:

Step-by-step explanation:

P= 2(L) + 2(w)

1504= 2(525) + 2(w)

1540= 1050 + 2(w)

1540 - 1050= 2(w)

490 = 2(w)

490/2 = w

245 = w

w is y

L is 525

Answer 2

Answer:

227 feet            

Step-by-step explanation:

To solve this the first thing to think about is the formula for perimeter. Perimeter is the sum of the lengths of all the sides of a shape. The perimeter of a rectangle is $P=2 l+ 2w$. l is the length of the rectangle and w is the width of the rectangle. There is a 2 in front of both those values in the formula because if you visualize a rectangle, there are 2 sides that have the the same measurement for both l and w. To find the width of the rectangle, you have to plug in 525 for l.

1. $1504=2(525)+ 2w$
2. $1504= 1050 + 2w$
3. Now we combine like terms. To do this, we subtract 1050 from both sides: $454= 2w$
4. Now we isolate w by dividing by 2: $227=w$

So the width equals 227 feet