Chapter 11.9, Problem 3CYU

To determine

To calculate the area of the given figure.

Answer to Problem 3CYU

  $18.9$ square centimeters.

Explanation of Solution

Given information:

Figure consists for a rectangle with length $l=5.7$ centimeters and breath $b=2.8$ centimeters.

It also consists of a triangle with base $b=5-2.8$

  $=2.2$ centimeters and height $h=5.7-3$

  $=2.7$ centimeters.

Formula used:

Area of rectangle $a=l\times b$ . Where ‘l’ is the length and ‘b’ is the breath.

Area of a triangle $a=\frac{1}{2}\times b\times h$ . Where ‘b’ is the base and ‘h’ is the height.Calculation: Calculate the area of the rectangle and triangle. On adding the two, the area of the figure shall be derived.

  $a=l\times b$

Formula of rectangle

  $=5.7\times 2.8$

Multiply the length and breadth

  $=15.96$ square centimeters.

Next, calculate area of triangle.

  $a=\frac{1}{2}\times b\times h$

Formula of triangle.

  $=\frac{1}{2}\times 2.2\times 2.7$

Multiply the base and height.

  $=1.1\times 2.7$

On simplification

  $=2.97$ square centimeters.

Adding the two areas would give the area of the figure.

  $=15.96+2.97$

  $=18.93$ square centimeters.

  $=18.9$ square centimeters, rounded to the nearest tenth.