Jane's garden is in the shape of a right triangle. One leg of the right triangle is longer than the other leg. The area of the garden is 63 square meters. What is the length of the longer leg?
To find the length of the longer leg of Jane's garden, we need to use the formula for the area of a right triangle. The formula for the area of a triangle is:
Area = (base * height) / 2
In this case, the legs of the right triangle are the base and the height. Let's assume one leg is x meters long, and the other leg is y meters long, where x > y. We are given that the area of the garden is 63 square meters. So we have the equation:
63 = (x * y) / 2
To solve for y, we can rearrange the equation:
2 * 63 = x * y
126 = x * y
Now we need to find two numbers whose product is 126, and where one number is greater than the other. The factors of 126 are:
1 * 126
2 * 63
3 * 42
6 * 21
7 * 18
9 * 14
From these factors, we can see that x could be 18 and y could be 7, or x could be 14 and y could be 9. Since the problem states that one leg is longer than the other, we choose x = 18 and y = 7.
Therefore, the length of the longer leg is 18 meters.
there are many possible answers here.
one answer could be the length of longer = 14 m and shorter = 9 m
it can also be longer = 18 m and shorter = 7 m
.. i think you forgot an information in the problem,..