Chapter 4.3, Problem 6PSA

To determine

To Prove: Area of B which is not covered by the squares.

Answer to Problem 6PSA

8 square units.

Explanation of Solution

Given information: Squares A and C with side length 4 units each. Length of B. before folding (including A and C) is 18 units and breadth is 4 units.

Formula:

  $\begin{array}{l}\text{area of rectangle}=\text{length}\times \text{breadth}\hfill \\ \text{area of square}=\text{side}\times \text{side}\hfill \end{array}$

Calculation: After folding, the uncovered part of B is a rectangle whose length is 18-8-8=2 units and breadth = 4 units.

  $\begin{array}{l}\therefore \text{Area}\text{uncovered}=2\times 4\\ =8\text{square}\text{units}.\end{array}$