Chapter 11.2, Problem 38HP

To determine

To show: the reason ofequivalence of area of a square to the area of a rhombus.

Explanation of Solution

Given information: $\text{Area of square}=s^2$ , where s is the side of square.

Formula used: Area of rhombus using sides is given by

  $\text{Area of rhombus}=b\times h$

where, $b\&h$ are base and height of rhombus respectively.

Area of rhombus is product of base and height or we can say product of any two consecutive sides.

& Area of square is product of any two sides.

Since square has equal sides.

Area of square can be written as product of any two consecutive sides.

Thus, the $\text{Area of square}=s^2$ , where s is the side of square is equivalent to the area of rhombus.