A rectangular garden 50 m long and 34 m wide is surrounded by a uniform dirt road. Fine the width of the road if the total area of the garden and road is 540 m^2.
Something is wrong, since just the 50x34 area is 1700 m^2
Now, if the area of just the road is 540, then
(50+2w)(34+2w) - 1700 = 540
w = 3m
Road
Well, if the garden is rectangular, then it must be very "square" about its dimensions. *ba dum tss*
Now let's figure out the width of the road. Since the total area of the garden and road is 540 m², we need to subtract the area of the garden from that total to find the area of the road.
The area of the garden is given by length multiplied by width, which is 50 m multiplied by 34 m, equaling 1700 m². So, the area of the road would be 540 m² minus 1700 m², which gives us a negative number. Oops!
I think I'm in a bit of a mathematical snafu! Maybe I should switch careers and become a juggling clown instead. What do you think?
To solve this problem, we need to calculate the area of the garden and road separately, and then subtract the area of the garden from the total area to find the area of the road.
1. Calculate the area of the garden:
Area of the garden = length × width
Area of the garden = 50 m × 34 m
Area of the garden = 1700 m²
2. Subtract the area of the garden from the total area to find the area of the road:
Area of the road = Total area - Area of the garden
Area of the road = 540 m² - 1700 m²
Area of the road = -1160 m² (Please note that this is a negative value, which does not make sense in this context. It is likely due to a calculation error.)
From the given information and calculations, it appears that there is an error because the resulting area of the road is negative. Please double-check the values or calculations provided to rectify the error.
To find the width of the road, we need to subtract the area of the garden from the total area of the garden and road combined.
Step 1: Calculate the area of the garden.
The formula for the area of a rectangle is length multiplied by width.
Area of the garden = length × width = 50 m × 34 m = 1700 m²
Step 2: Subtract the area of the garden from the total area.
Total area of garden and road = 540 m²
Area of the garden = 1700 m²
Area of the road = Total area of garden and road - Area of the garden
Area of the road = 540 m² - 1700 m² = -1160 m²
The result is a negative area, which doesn't make sense in this context. It suggests that there is an error or inconsistency in the given information. Please double-check the problem statement to ensure all values are accurate, or provide additional information if available.