Question
Split the following shape into rectangles and find the area. (The measures are given in centimeter.)
✓
Answer
This figure consists of two squares $I$ and $III$ and one rectangle $II.$
Area of square $I =$ Area of square $III = ($Side $\times $ Side$)$
$= 7 \times 7$
$ = 49\ cm^2$
Similarly, area of rectangle $II = ($Length $\times $ Breadth$)$
$= (21 \times 7)$
$= 147\ cm^2$ Thus, total areas of this figure $= ($Area of square $I\ +$ Area of rectangle $II\ +$ Area of square $III)$
$= 49 + 49 + 147$
$ = 245\ cm^2$
Area of square $I =$ Area of square $III = ($Side $\times $ Side$)$
$= 7 \times 7$
$ = 49\ cm^2$
Similarly, area of rectangle $II = ($Length $\times $ Breadth$)$
$= (21 \times 7)$
$= 147\ cm^2$ Thus, total areas of this figure $= ($Area of square $I\ +$ Area of rectangle $II\ +$ Area of square $III)$
$= 49 + 49 + 147$
$ = 245\ cm^2$
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