Chapter 14.5, Problem 16PSB

To determine

To construct the rectangle with the same area as given rectangle.

Explanation of Solution

Given:

The rectangle $ABCD$ .

Calculation:

Let the area of given rectangleABCD be $h\times DC$ .

Now, the construction of the another rectangle XYCD having the area equal to the above rectangle is as follows-

  

The area of rectangle XYCD is also equal to $h\times DC$

To determine

To construct the triangle with the same area as given rectangle.

Explanation of Solution

Given:

The rectangle $ABCD$ .

Calculation:

Let the area of given rectangle ABCD be $h\times DC$ .

Now, the construction of another triangle ABC having the area equal to the above rectangle is as follows-

Here $BC=2\times CD$

  

The area of triangleABC is equal to $\frac{1}{2}\times h\times 2DC=h\times DC$