Question

The Rose garden is formed by joining the rectangle in the semicirculation below the rectangle is 22 ft long and 18 ft wide if the gardener wants to build a fence around the garden how many feet of fences required

Answer 1

First, let's find the area of the rectangle.We know that the area of a rectangle is the length times width, or 20⋅32in this example:20⋅32=640So the area of the rectangle is 640ft2.You may not know the area of a semicircle, but that's fine −we know the area of a circle, or πr2.Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by 2:So the area of a semicircle is πr22.The question asks for πto just be 3.14, so instead the equation is A=3.14r22The picture gives the diameter of the circle.To find the radius, or r, we divide the diameter by 2:202=10Now we can solve for the area of the semicircle:3.14(10)223.14(100)23142157ft2Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:640+157=797ft2