+64 Your teacher's work station is made up of two identical desks arranged as shown.
a. Write an equation in terms of x that relates the area of Desk 1 to the area of Desk 2.
b. What is the value of x?
c. Find the area of the top of your teacher's work station.
Please show work?
+426 a)
x lesser than 6 = x more than 2
(6 - x) = (2 + x) | - x
b) Method 1
(6 - 2x) = 2 | + 2x
6 = 2 + 2x | - 2
2x=4
x = 2
Method 2
AreaofDesk1→(x)(2+x)=(2x+x2)ft2AreaofDesk2→(x)(6−x)=(6x−x2)ft2Thisshouldbetrue:(2x+x2)=(6x−x2)|−(6x−x2)2x2−4x=0Twopossibleresultsofx.x=0andx=2.Asanareaof0doesn′tmakesense,thenx=2.
c) x=2,2(2x+x2)=2(2×2+22)=2(4+4)=2(8)=16
+426 a)
x lesser than 6 = x more than 2
(6 - x) = (2 + x) | - x
b) Method 1
(6 - 2x) = 2 | + 2x
6 = 2 + 2x | - 2
2x=4
x = 2
Method 2
AreaofDesk1→(x)(2+x)=(2x+x2)ft2AreaofDesk2→(x)(6−x)=(6x−x2)ft2Thisshouldbetrue:(2x+x2)=(6x−x2)|−(6x−x2)2x2−4x=0Twopossibleresultsofx.x=0andx=2.Asanareaof0doesn′tmakesense,thenx=2.
c) x=2,2(2x+x2)=2(2×2+22)=2(4+4)=2(8)=16
