A rose garden is formed By joining a rectangle and a semicircle the rectangle is 34 feet long and 26 foot wide find the area of
the garden
1 answer:
Answer:
1149.5 ft²
Step-by-step explanation:
1. Calculate the area of the rectangle
The formula for the area A of a rectangle is
A = lw
l = 34 ft and w = 26 ft, so
A = 34 ft × 26 ft = 884 ft²
2. Calculate the area of the semicircle
The formula for the area A of a circle is
A = πr², so the formula for the area of a semicircle is
A = ½πr²
The diameter d of the semicircle is 26 ft, so
r = ½d = ½ × 26 ft = 13 ft
A = ½π × (13 ft)² = ½π × 169 ft² = 265.5 ft²
3. Calculate the combined area
A = 884 ft² + 265.5 ft² = 1149.5 ft²
The area of the rose garden is 1149.5 ft².
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The distance between the cities is 280 miles. The rule is y = 40x, where x is the distance in inches on the map and y is the distance in miles.
Step-by-step explanation:
Step 1:
The map's key shows that 5 inches on the map equal 200 miles of actual distance.
5 inches on the map = 200 miles of actual distance,
if we divide both sides by 5, we get;
1 inch on the map = 40 miles of actual distance.
Step 2:
If x is the distance on the map in inches and y is the actual distance in miles,
y = 40x.
If the map distance 7 inches, x = 7.
Substituting, x =7 in the equation, .
So the actual distance between the cities is 280 miles.