So the Pythagorean triplet is 8,15and 17
Answer: 19
If the floor space of the garage is increased by 50%, that means its area is increased by that amount
So we have 228 + .50(228) = 228 + 114 = 342 ft²
Since the original garage is square-shaped with an area of 228 ft², then we can find the length of each side. If we let x = the side length, then we have:
x² = 228
x = 15.1 ft
Assuming that the garage will remain square-shaped with sides of uniform dimensions, then we can label each side of the expanded garage as 15 + y. We need to solve for y. Again, we use the area formula. Remember that the expanded garage will have an area of 342 ft², we now have:
(y + 15)² = 342
y² + 30y + 225 = 342
y² + 30y - 117 = 0
This can be solved using the Quadratic Formula. Remember that dimensions must always be positive. Once you determine y, then you will know what the length will be of the expanded garage
Expression: 2n - 1
When n = 7
2n - 1 = 2(7) = 1 = 14 - 1 = 13
