Respuesta :
Answer:
6,4
Step-by-step explanation:
Create a system of equations
l-2=w
w*l=24
Substitute
l-2*1=24
l=6
6-2=4
w=4
Dimensions of the rectangle are 6inch and 4 inch.
What is rectangle?
"Rectangle is a quadrilateral whose all angles are right angle and opposite sides are parallel and equal in measurement."
What is dimensions?
" Dimension is measurement of any object such as length, width and height of any object."
What is area?
"Area is a space occupied by an object."
Let 'l' be the length of the rectangle.
According to the question,
Width = l - 2
Area= 24 square inches
Formula used
Area of a rectangle = length x width
[tex]24 = l[/tex] × [tex](l-2)[/tex]
⇒[tex]24[/tex] = [tex]l^{2} -2l[/tex]
⇒ [tex]l^{2} -2l -24=0[/tex]
⇒[tex]l^{2} -6l+4l -24 =0[/tex]
⇒[tex]l(l-6) +4(l-6) =0[/tex]
⇒[tex](l-6)(l+4) =0[/tex]
⇒[tex]l=6[/tex] or [tex]l= -4[/tex]
length cannot be negative.
Therefore, [tex]l=6[/tex]inch
⇒width = [tex]6-2[/tex]
⇒ width = 4 inch
Hence the dimensions of the rectangle are 6inch and 4 inch.
Learn more about dimensions of the rectangle here
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