<h3>
Answer:</h3>
- 4.5 blocks²
- 19.5 blocks²
- 180 blocks²
- $102,000
<h3>
Step-by-step explanation:</h3>
1. The formula for the area of a triangle is ...
A = (1/2)bh, where b is the base and h is the height
Here, you have b = h = 3 blocks, so the area of the Mall is ...
A = (1/2)·(3 blocks)·(3 blocks) = 4.5 blocks²
2. The formula for the area of a trapezoid is ...
A = (1/2)(b1 +b2)h, where b1 and b2 are the lengths of the parallel bases and h is the height
Here, you have b1=5blocks, b2=8 blocks, h=3 blocks, so the area of the Park is ...
A = (1/2)·(5 blocks + 8 blocks)·(3 blocks) = 19.5 blocks²
3. The formula for the area of a rectangle is ...
A = L·W, where L is the length and W is the width.
Here, you have L = (7 blocks) +(3 blocks) +(8 blocks) = 18 blocks, and W = 10 blocks, so the area of the homes section is ...
A = (18 blocks)·(10 blocks) = 180 blocks²
4. The cost of the property is the product of the number of square blocks and the cost of each of them. The developed area is ...
developed area = Mall area + Park area + homes section area
= 4.5 blocks² +19.5 blocks² +180 blocks² = 204 blocks²
Then the cost of the land is ...
(204 blocks²)·($500/block²) = $102,000
