Respuesta :
Answer:
Length = 25 Inches,
Breadth = 15 Inches
Step-by-step explanation:
Let the length of the rectangle be X inches and breadth of the rectangle be Y Inches .
So, according to question,
X = 2Y - 5.
Now, Perimeter of rectangle will be 2(X + Y) Inches,
Which is given to be 80 Inches.
Thus, X + Y = 40
2Y - 5 + Y = 40
3Y = 45
Y = 15 Inches
X = 2(15) - 5 = 25
= 25 Inches.
So, Length = 25 Inches,
Breadth = 15 Inches
Answer:
Length of a rectangle is 25 inches.
Width of a rectangle is 15 inches.
Step-by-step explanation:
Given:
Let length of a rectangle be given by ' L'
and Width of rectangle be given by x inches.
According to the given condition,
Length = L = 2x -5
Width = x
Perimeter of a rectangle = 80 inches
To Find:
Length = ?
Width = ?
Solution:
We know Perimeter of a rectangle given by formula,
[tex]\textrm{Perimeter of a rectangle }=2( Length + Width)[/tex]
substituting the given values in the above equation we get
[tex]\textrm{Perimeter of a rectangle }=2( (2x-5)+x)\\\textrm{applying distributive property we get }\\80=( 4x-10+2x)\\6x=80+10\\6x=90\\x=\frac{90}{6} \\x=15\ inches\\[/tex]
∴ Length = 2x - 5
= 2×15 - 5
= 30 - 5
= 25 inches
∴ Length = (2x - 5) = 25 inches
∴ Width = x = 15 inches
Length of a rectangle is 25 inches.
Width of a rectangle is 15 inches.
