A rectangular garden has a length of x and a width of y. The garden has its length reduced by 3 feet and its width extended by 2 feet. What is the area of the new garden?
area of old garden = xy, if x is the length and y is the width
area of new garden = (x-3)(y+2) = xy + 2x - 3y + 6
Was there more information?
Ah, so we're doing some garden magic here, huh? Okay, let's crunch those numbers together!
The original area of the garden is x * y.
After the length is reduced by 3 feet, the new length becomes (x - 3).
And after the width is extended by 2 feet, the new width becomes (y + 2).
So, the area of the new garden is (x - 3) * (y + 2).
Voila! You have the new area. Now go and enjoy your magically transformed garden!
To find the area of the new garden, we need to calculate the new length and the new width, and then multiply the two values together.
Given:
Original length = x
Original width = y
After modifications:
New length = (x - 3) feet
New width = (y + 2) feet
To calculate the area of the new garden, we multiply the new length by the new width:
Area of the new garden = (New length) * (New width)
= (x - 3) * (y + 2) square feet
Hence, the area of the new garden is (x - 3) * (y + 2) square feet.
To find the area of the new garden, we need to calculate the product of its length and width.
Let's break down the problem step by step:
1. Start with the original values: length = x and width = y.
2. The garden has its length reduced by 3 feet. Therefore, the new length is (x - 3) feet.
3. The width is extended by 2 feet. So, the new width is (y + 2) feet.
4. The area of the new garden is calculated by multiplying the new length by the new width: (x - 3) * (y + 2).
Hence, the area of the new garden is (x - 3)(y + 2) square feet.