You decide to build a rectangular garden in your backyard. You've designated an area of 180m^2 for your garden. Due to the configuration of your backyard, the width of the garden must be 8 meters less than the length.
You decide to build a rectangular garden in your backyard. You've designated an area of 180m^2 for your garden. Due to the configuration of your backyard, the width of the garden must be 8 meters less than the length.
[tex]Length = 18m[/tex]
[tex]Width = 10m[/tex]
Step-by-step explanation:
Given
[tex]Area = 180m^2[/tex]
[tex]Width = Length - 8[/tex]
Required
Determine the Length and the Width
Represent Width with W and Length with L;
So, we have:
[tex]Area = L * W[/tex]
[tex]Area = L * (L - 8)[/tex]
[tex]180 = L * (L - 8)[/tex]
[tex]180 = L^2 - 8L[/tex]
[tex]L^2 - 8L - 180 = 0[/tex]
Expand
[tex]L^2 - 18L + 10L- 180 = 0[/tex]
[tex]L(L - 18) + 10(L- 18) = 0[/tex]
[tex](L + 10)(L- 18) = 0[/tex]
Split
[tex]L + 10 =0[/tex] or [tex]L - 18 = 0[/tex]
[tex]L = -10[/tex] or [tex]L = 18[/tex]
But length cant be negative:
So,
[tex]L = 18[/tex]
Recall that:
[tex]Width = Length - 8[/tex]
[tex]W = 18 - 8[/tex]
[tex]W = 10[/tex]
Hence:
[tex]Length = 18m[/tex]
[tex]Width = 10m[/tex]
The answer would be d i think but i’m for sure it is not a and c
[tex]The vertex of this parabola is at (-2,1) .which of the following could be its equation a. x=4(y+1)^2[/tex]
1) is right
step-by-step explanation:
[tex]Can someone helm me with this problem plz and show work[/tex]