
To calculate the area of the composite figure.

Answer to Problem 10STP
91 square centimeters.
Explanation of Solution
Given information:
The figure consists of a rectangle and a
Rectangle has a length of l=10.9 centimeters and breadth b=7.4 centimeters.
Triangle has a base B=10.9−6.5
=4.4 centimeters and height H=12.1−7.4
=4.7 centimeters.
Formula used: Area of rectangle a=l×b where ‘l’ is the length and ‘b’ is the breadth.
Area of triangle t=12×B×H where ‘B’ is the base and ‘H’ is the height.
Calculation:
Area of the rectangle
a=l×b
Putting values in the same
=10.9×7.4
Multiply the expression
=80.66 square centimeters
Area of triangle.
t=12×B×H
Formula for area of triangle.
=12×4.4×4.7
Putting the values in the formula
=2.2×4.7
Dividing common terms and simplifying
=10.34 square centimeters.
Now, add the two areas to get the area of the given figure.
=a+t
=80.66+10.34
On adding the two areas, the area of the composite figure is found.
=91 square centimeters,
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