Answer:
The dimensions of the desk are
Length: 54 inches
Width: 30 inches
Step-by-step explanation:
we know that
The area of rectangle is equal to
[tex]A=LW[/tex]
where
L is the length
W is the width
we have
[tex]A=1,620\ in^2[/tex]
so
[tex]1,620=LW[/tex] ----> equation A
[tex]L=W+24[/tex] ----> equation B
substitute equation B in equation A
[tex]1,620=(W+24)W[/tex]
solve for W
[tex]1,620=W^2+24W[/tex]
[tex]W^2+24W-1,620=0[/tex]
Solve the quadratic equation by graphing
The solution is W=30 in
see the attached figure
Find the value of L
[tex]L=30+24=54\ in[/tex]
therefore
The dimensions of the desk are
Length: 54 inches
Width: 30 inches
