Chapter 11.1, Problem 40HP

To determine

To Draw: To draw the given polygons.

Answer to Problem 40HP

The base is 10 units for triangle and 5units for parallelogram.

Explanation of Solution

Given information: Given height is 7units and area is 35 square units

Formula used: Area of triangle $=\frac{1}{2}\times \text{base}\times \text{height}$ and area of parallelogram is $\text{=base}\times \text{height}$

Calculation:

Since the height is 7units and area is 35square units.

Therefore, the area of triangle is

  $\begin{array}{l}35=\frac{1}{2}\times \text{base}\times 7\\ \text{base}=\frac{35\times 2}{7}\\ \text{base}=10\end{array}$

Thus, the base of the required triangle is 10units and the three different triangles will be

  

  

Also, the area of parallelogram is

  $\begin{array}{l}35=\text{base}\times 7\\ \text{base}=\frac{35}{7}\\ \text{base}=5\end{array}$

Thus, the base of the required parallelogram is 5units and the three different parallelograms are