Chapter 2: Q60. (page 67)

Find the area of the shaded region in the graph.
60. Find the area of the shaded region in the graph

Short Answer

Expert verified

Area of the shaded region is 10.5 square units

Step by step solution

Step-1 –Determining the shape of the shaded region and area of shaded region

The shape of the shaded region is of trapezoidal shape

And, Area of trapezoid = $\frac{1}{2} \{h (b_{1} + b_{2})\}$

Step-2 –Determining the height and parallel sides of trapezoid

The height of trapezoid, $h = 3$ and length of the parallel sides

$b_{1} = 5$ And $b_{2} = 2$

Step-3 –Evaluation of area of shaded region

$\begin{array}{l} A = \frac{1}{2} \{h (b_{1} + b_{2})\} \\ = \frac{1}{2} \{3 (5 + 2)\} \\ = \frac{1}{2} \times 3 \times 7 \\ = \frac{21}{2} \\ = 10.5 \end{array}$

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Find the area of the shaded region in the graph.
60. Find the area of the shaded region in the graph

Short Answer

Step by step solution

Step-1 –Determining the shape of the shaded region and area of shaded region

Step-2 –Determining the height and parallel sides of trapezoid

Step-3 –Evaluation of area of shaded region

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Find the area of the shaded region in the graph.60. Find the area of the shaded region in the graph

Short Answer

Step by step solution

Step-1 –Determining the shape of the shaded region and area of shaded region

Step-2 –Determining the height and parallel sides of trapezoid

Step-3 –Evaluation of area of shaded region

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Calculus

Geometry

Theoretical and Mathematical Physics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the area of the shaded region in the graph.
60. Find the area of the shaded region in the graph