Question

Use a composite figure to estimate the area of the figure. The grid has squares with side lengths of 1.5 cm.

Answer 1

The area of the composite figure in which the length of squares is 1.5 cm is 49.1 $cm^{2}$

Given that the grid has squares with side lengths of 1.5 cm.

We are required to find the area of the composite figure.

The area of the composite figure is approximate to the area of the rectangle plus the are of the semicircle at the top of the rectngle plus the semicircle at the right side of the rectangle.

Finding the area of the rectangle.

A=(3*1.5)(4*1.5)=27 $cm^{2}$

Finding the area of the semicircle at the top of the rectangle.

A=1/2 π$(2*1.5)^{2}$=4.5 π $cm^{2}$

Finding the area of the semicircle at the right of the rectangle.

A=1/2 π$(1.5*1.5)^{2}$

=2.53π $cm^{2}$

Total area =27+4.5π+2.53π

=27+7.03π

Use π=3.14

=27+7.03*3.14

=49.1 $cm^{2}$

Hence the area of the composite figure in which the length of squares is 1.5 cm is 49.1 $cm^{2}$.

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