Question

1. suppose that the parking zone is 10 yards wide. determine the dimensions (width and length) of the lot and the total area of land needed for this project. 2. suppose that the parking zone is seventeen yards wide. determine the dimensions (width and length) and area of the rectangular lot. 3. suppose that the dimensions of a lot are seventy - nine yards wide by 81 yards long. determine the width of the parking zone and the area of the lot. 4. use the graph to determine the parking zone width if the area of the rectangular lot is 4623 square yards.

Explanation:

Question 1

Step1: Recall area formula for rectangle

The area formula for a rectangle is $A = l\times w$, where $A$ is the area, $l$ is the length and $w$ is the width. Given the width of the parking - zone $w = 10$ yards. But we need to find the length and width of the lot. Since no information about the lot's relation to the parking - zone in terms of length and width is given for this part, we assume the parking - zone is the lot. Then if we assume the length $l$ and width $w$ of the lot (parking - zone), and the width $w = 10$ yards, without further information about the length, we can't find the area. But if we assume the parking - zone is a square (a special case of rectangle where $l = w$), then $l=10$ yards and $A=l\times w = 10\times10=100$ square yards. However, if we assume it's a non - square rectangle and no length is given, we can't calculate the area precisely. Let's assume for the sake of having an answer that it's a square, so the dimensions of the lot are length $l = 10$ yards and width $w = 10$ yards, and the area $A = 100$ square yards.
Expression: $A = l\times w$, when $l = 10$ and $w = 10$, $A=10\times10$
Unit: square yards

Answer:

Length = 10 yards, Width = 10 yards, Area = 100 square yards

Question 2

Step1: Identify given values

The parking - zone is 17 yards wide. Let the width of the lot be $w_{lot}$ and length be $l_{lot}$. We need to find the area of the lot. But no information about the lot's dimensions in relation to the parking - zone is given other than the width of the parking - zone. Without information about the length of the lot or its relation to the parking - zone's width, we can't calculate the area. Let's assume some relation. If we assume the lot has the same width as the parking - zone ($w_{lot}=17$ yards) and no length is given, we still can't find the area. If we assume it's a square lot with $l_{lot}=w_{lot}=17$ yards, then the area $A = l_{lot}\times w_{lot}=17\times17 = 289$ square yards.
Expression: $A=l_{lot}\times w_{lot}$, when $l_{lot}=17$ and $w_{lot}=17$, $A = 17\times17$
Unit: square yards