i'm supposed to find an area of a figure but i'm not sure what it is so therefore i don't know the formula.
basically, it kind of looks like a capsule but more roundish like an oval. there's two lines down the middle that both measure at 18 ft. the bottom on the outside of the figure shows a measurement of 4.5 ft. how do i find the area?
also the answer choices i have are:
a. 95.13 ft^2
b. 137.52 ft^2
c. 335.34 ft^2
d. 336.45 ft^2
i really need help with this
To find the area of the figure you described, which is more roundish like an oval with two lines down the middle measuring 18 ft and a bottom measurement of 4.5 ft, you can break it down into two separate shapes: a rectangle and two half-circles.
1. Rectangle: The rectangle represents the top portion of the figure. Its length is equal to the measurement between the two lines down the middle, which is 18 ft. The width is the bottom measurement, which is 4.5 ft. To find the area of the rectangle, simply multiply the length by the width: Area = length × width = 18 ft × 4.5 ft.
2. Half-circles: The two half-circles represent the rounded ends of the figure. Each half-circle would have a radius equal to half of the bottom measurement, which is 2.25 ft (half of 4.5 ft). The formula for the area of a circle is A = πr², but since we only have half-circles, we need to divide by 2. So the area of one half-circle would be 1/2 × π × (2.25 ft)².
To find the total area of the figure, we need to add the area of the rectangle and the two half-circles together. So the formula for the total area of the figure would be:
Total Area = Area of Rectangle + 2 × (Area of Half-circle)
Total Area = (18 ft × 4.5 ft) + 2 × (1/2 × π × (2.25 ft)²)
Now you can calculate the total area using this formula.