00:01
Hello! so here given that we have a rectangular garden, so i'm going to make a chart for a rectangular garden.
00:06
I was told that the, um, it has an area of 40 square feet, so the area here is going to be 40.
00:12
Um, the length of the garden is 3 feet more than the width, so we know that the area is going to be length times width is 40, but we know that the length of the garden is 3 feet more than the width, so instead of writing length, we can write the length here as whatever the width is plus 3, so we get, uh, w plus 3, um, and then what are the dimensions? we know then that w times w plus 3 would be equal to 40.
00:44
We can distribute here, so w times w is going to be w squared plus, well, 3 times w, so plus 3w, uh, is equal to 40.
00:53
We subtract 40, so we get w squared plus 3w minus 40 would be equal to 0.
00:58
We now have a quadratic equation in standard form, um, which is going to be set equal, well, set equal to 0.
01:06
So a couple ways to solve this, we could try and factor this...