Chapter 4.1, Problem 8PSA

To determine

To calculate: Coordinates of C and area of square.

Answer to Problem 8PSA

C (-2, 2); A=16 square units.

Explanation of Solution

Given information: coordinates of two adjacent vertices of square are (0, 0) and (-4, 0).

Formula used: midpoint formula, $Areaofsquare=side\times side$

from the graph, side of square = 4 units. The point on Y axis must have coordinates (0, 4). $\because$ C is midpoint of (-4, 0) and (0, 4) hence by midpoint formula, C (-2, 2).

  $\begin{array}{l}\text{Area of square}=\text{side}\times \text{side}\\ =4\times 4\\ =16\text{ square units}.\end{array}$