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

Answer:

about $49.1\ cm^{2}$

Step-by-step explanation:

The area of the composite figure is approximate to the area of the rectangle plus the area of the semicircle at the top of the rectangle plus the semicircle at the right of the rectangle

Find the area of the rectangle

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

Find the area of the semicircle at the top of the rectangle

$A=\frac{1}{2}\pi (2*1.5)^{2}=4.5 \pi\ cm^{2}$

Find the area of the semicircle at the right of the rectangle

$A=\frac{1}{2}\pi (1.5*1.5)^{2}=2.53 \pi\ cm^{2}$

The area of the composite figure is

$27\ cm^{2}+4.5 \pi\ cm^{2}+2.53 \pi\ cm^{2}=(27+7.03 \pi)\ cm^{2}$

use $\pi=3.14$

$(27+7.03(3.14))=49.1\ cm^{2}$