Answer:
Answer: 132.93 cm²
Step-by-step explanation:
• If you see the composite figure, it is made up of two quarter circles and one rectangle.
Area of two quarter circles :
[tex]{ \tt{area \: of \: quarter \: circle = \frac{1}{4} \pi {r}^{2} }} \\ [/tex]
- r is radius, radius is 7 cm
[tex]{ \tt{area \: of \: two \: quarter \: circles = 2( \frac{1}{4}\pi {r}^{2} ) }} \\ \\ = { \tt{ \frac{1}{2} \pi {r}^{2} }} \\ \\ { \tt{ = \frac{1}{2} \times 3.14 \times {7}^{2} }} \\ \\ { \underline{ \tt{ \: = 76.93 \: {cm}^{2} \: }}}[/tex]
Area of rectangle :
[tex]{ \tt{area = length \times width}} \\{ \tt{area = 8 \times 7}} \\ { \underline{ \tt{ \: area = 56 \: {cm}^{2} \: }}}[/tex]
Area of composite figure :
[tex]{ \tt{area = 76.93 + 56}} \\ { \underline{ \underline{ \tt{ \: \: area = 132.93 \: {cm}^{2} \: \: }}}}[/tex]
