The dimensions of a rectangular swimming pool are 10m by 6m, customers want the pool built 1/4 of the length and a third of its width wider. What are the new dimensions of the pool, calculate the area
the way I read it:
new length = 10 + (1/4)(10) = 25/2
new width = 6 + (1/3)(6) = 8
new area = (25/2)(8) = 100 m^2
To find the new dimensions of the pool, we need to increase the length by 1/4 and the width by 1/3.
First, let's calculate the increase in length:
Increase in length = 1/4 * 10 m = 2.5 m
Next, let's calculate the increase in width:
Increase in width = 1/3 * 6 m = 2 m
Now, add the increase in length to the original length to get the new length:
New length = 10 m + 2.5 m = 12.5 m
Similarly, add the increase in width to the original width to get the new width:
New width = 6 m + 2 m = 8 m
So, the new dimensions of the pool are 12.5 m (length) by 8 m (width).
To calculate the area of the new pool, simply multiply the new length by the new width:
Area = length * width
Area = 12.5 m * 8 m = 100 square meters
Therefore, the new dimensions of the pool are 12.5 m by 8 m, with an area of 100 square meters.