The length of rectangle is 6 inches and width is 4 inches.
Step-by-step explanation:
Let,
l be the length of rectangle
w be the width of rectangle.
Quarter means [tex]\frac{1}{4}[/tex].
According to given statement;
[tex]l+\frac{1}{4}w=7\\l+0.25w=7\ \ \ Eqn\ 1[/tex]
l+w = 10 Eqn 2
Subtracting Eqn 1 from Eqn 2
[tex](l+w)-(l+0.25w)=10-7\\l+w-l-0.25w=3\\0.75w=3[/tex]
Dividing both sides by 0.75
[tex]\frac{0.75w}{0.075}=\frac{3}{0.75}\\w=4[/tex]
Putting w=4 in Eqn 2
[tex]l+4=10\\l=10-4\\l=6[/tex]
The length of rectangle is 6 inches and width is 4 inches.
Keywords: rectangle, linear equation
Learn more about rectangle at:
#LearnwithBrainly
