A rectangular lot is worth $193.000. The value is $4.40 per square foot for the lot . If the lot is 200 feet deep, What is the width?
Let's assume the width of the rectangular lot is x feet.
The area of a rectangle is given by multiplying its length and width, which in this case is 200 ft (depth) * x ft (width).
Since the value of the lot is $4.40 per square foot, the total value of the lot can be calculated by multiplying the area with the value per square foot: ($4.40/ft²) * (200 ft * x ft) = $193,000
Simplifying the equation, we have: 880 * x = 193,000
Dividing both sides of the equation by 880, we get: x = 193,000 / 880
Calculating x, the width of the lot is approximately 219.32 feet.
To find the width of the rectangular lot, we can divide the total value of the lot by the value per square foot and then divide it by the depth of the lot.
Step 1:
Total value of the lot = $193,000
Step 2:
Value per square foot = $4.40 per sq ft
Step 3:
Depth of the lot = 200 feet
Step 4:
Width of the lot = (Total value of the lot) / (Value per square foot) / (Depth of the lot)
Width of the lot = $193,000 / $4.40 per sq ft / 200 feet
Step 5:
Simplifying the expression:
Width of the lot = $193,000 / ($4.40/1 sq ft) / (200 feet/1)
Width of the lot = $193,000 / ($4.40/1) / (200/1)
Width of the lot = ($193,000 x 1) / ($4.40 x 200)
Step 6:
Evaluating the expression:
Width of the lot = $193,000 / $880
Width of the lot ≈ 219.32 feet (rounded to two decimal places)
Therefore, the width of the rectangular lot is approximately 219.32 feet.
To find the width of the rectangular lot, we need to divide the total area of the lot by its depth.
First, let's calculate the total area of the lot. We know that the value of the lot is $4.40 per square foot, and the total value of the lot is $193,000. Therefore, we can divide the total value ($193,000) by the value per square foot ($4.40) to find the total area.
Total area = Total value / Value per square foot
Total area = $193,000 / $4.40
Calculating this, we find that the total area of the lot is approximately 43,863.64 square feet.
Next, let's calculate the width by dividing the total area by the depth.
Width = Total area / Depth
Width = 43,863.64 sq ft / 200 ft
By performing this calculation, we find that the width of the rectangular lot is approximately 219.32 feet.