The side of a square flower bed is 1.5 m long.It is Enlarged by digging around 25 cm wife strip all around outside it . Find the area of the Enlarged flower bed and also the increase in area of the flower bed.
so you are adding 2(.25) m or .5 m to each side
old area = 1.5^2 m^2 = 2.25 m^2
new area = 2^2 m^2 = 4 m^2
increase = ....
To find the area of the enlarged flower bed, we need to find the length of each side of the enlarged square.
Step 1: Calculate the length of the enlarged square's side:
- The original side length of the flower bed is 1.5m.
- The width of the strip dug around the flower bed is 25cm, which is equal to 0.25m.
- Since the strip is dug around the entire outside of the flower bed, the length and width of the enlarged square will be increased by the width of the strip on both sides.
- Therefore, the length of each side of the enlarged square will be:
(1.5m + 0.25m) + (0.25m + 0.25m) = 2m
Step 2: Calculate the area of the enlarged flower bed:
- Since the enlarged flower bed is in the shape of a square, we know that the length and width are both 2m.
- The area of a square is found by squaring the length of one side.
- Thus, the area of the enlarged flower bed is:
2m * 2m = 4 square meters
Step 3: Calculate the increase in area of the flower bed:
- To find the increase in area, we need to subtract the area of the original flower bed from the area of the enlarged flower bed.
- The area of the original flower bed is given by squaring its side length, so it is:
1.5m * 1.5m = 2.25 square meters
- Therefore, the increase in area is:
Area of enlarged flower bed - Area of original flower bed = 4 square meters - 2.25 square meters = 1.75 square meters
So, the area of the enlarged flower bed is 4 square meters, and the increase in area of the flower bed is 1.75 square meters.