Question

1. the rectangle abcd shown on the coordinate plane represents an overhead view of a piece of land. each unit represents 1,000 feet. what are the dimensions of the rectangular piece of land, in feet?

Explanation:

Step1: Calculate the length of AB

The x - coordinate of A is \(0\) and of B is \(4\). The distance \(AB=\vert4 - 0\vert=4\) units. Since each unit represents \(1000\) feet, the length of AB in feet is \(4\times1000 = 4000\) feet.

Step2: Calculate the length of BC

The y - coordinate of B is \(0\) and of C is \(5\). The distance \(BC=\vert5 - 0\vert=5\) units. Since each unit represents \(1000\) feet, the length of BC in feet is \(5\times1000=5000\) feet.

Answer:

The dimensions of the rectangular piece of land are \(4000\) feet by \(5000\) feet.