Each small square on the grid is 1 cm².Which estimate best describes the area of this figure?15 cm²20 cm²25 cm²35 cm²
Question
Answer:
Answer: The correct option is option third, i.e.,25 cm square.Explanation:From the given figure it is easily noticed that the shaded region contains two congruent parallelograms and 4 congruent triangles.Area of a parallelogram is the product of base and height.[tex]\text{Area of a parallelogram}=4\times 3=12[/tex]The area of a parallelogram is 12 cm square.Area of a triangle is half of the product of base and height.[tex]\text{Area of a triangle}=\frac{1}{2}\times 2\times 0.25=0.25[/tex]The area of a triangle is 0.25 cm square.Since there are 2 parallelograms and 4 triangles in the figure, therefore the total area is,[tex]A=2(12)+4(0.25)[/tex][tex]A=24+1=25[/tex]Therefore, the area of figure is 25 cm square and the third option is correct.
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