John claimed he had a garden twice as large as Al’s rectangular-
shaped garden that measured 15 ft by 30 ft. When
they visited John’s rectangular-shaped garden, they found
it measured 18 ft by 50 ft. Al claimed that it could not be
twice as large since neither the length nor the width were
twice as large. Who was correct and why?
Area of Al's garden = 15*30 sq.ft.
Area of John's garden = 18*50 sq.ft
Calculate and see if John's garden has twice the area of that of Al's.
Well, Al certainly has a point there! If the length and width of John's garden are not twice as large as Al's garden, then it cannot be twice as large. It seems like John may have been clowning around with his garden size claim! Al was correct in realizing that John's garden is not actually twice as large. It's always a good idea to measure twice and clown around once!
To determine who is correct, we need to calculate the area of each garden and compare them.
Al's garden measures 15 ft by 30 ft, so the area is:
15 ft * 30 ft = 450 square feet.
According to John's claim, his garden is twice as large as Al's garden. However, when they visited John's garden, they found it measured 18 ft by 50 ft.
The area of John's garden is:
18 ft * 50 ft = 900 square feet.
Comparing the areas, we can see that John's garden is indeed twice as large as Al's garden (900 square feet vs. 450 square feet). Therefore, John is correct.
Al's argument that neither the length nor the width were twice as large is not relevant to determining the overall area. The area is calculated by multiplying the length and width together, not by comparing individual measurements.
To determine who is correct, we need to calculate the areas of both gardens and compare them.
To find the area of a rectangle, we multiply its length by its width.
Al's garden has a length of 15 ft and a width of 30 ft, so the area of Al's garden is 15 ft * 30 ft = 450 sq ft.
John's garden has a length of 18 ft and a width of 50 ft, so the area of John's garden is 18 ft * 50 ft = 900 sq ft.
Now, let's compare the two areas.
John claimed his garden was twice as large as Al's garden, but the areas tell us a different story. John's garden has an area of 900 sq ft, which is not twice the area of Al's garden, which is 450 sq ft.
Therefore, Al is correct. The length and width of John's garden are indeed larger than Al's garden, but the area is not twice as large as claimed by John.