Answer: in exact form: 291.5 + 30.25π cm²
correct to 2 decimal places: 386.53 cm²
Step-by-step explanation:
first you find the area of the rectangle:
= length × width
= 53 × 11
= 583 cm²
Next you find the area of the semicircle:
= π × r² (where r is the radius)
= π × (11/2)²
= 30.25π cm²
Then you find the area of the unshaded triangle:
= half × base length × perpendicular height
= 1/2 × 53 × 11
=291.5 cm²
Finally you subtract the unshaded area (the triangle) from the shaded area (not including the semicircle) then add the semicircle to your result.
= 583 (rectangle) - 291.5 (triangle) + 30.25π (semicircle)
= 291.5 + 30.25π
≈ 386.53 cm² (2 decimal places)
