Respuesta :
Given:
- Perimeter of rectangle = 148 inches
- Width of Rectangle = 36 Inches
[tex]~[/tex]
Need to Find?
- Length of Rectangle
[tex]~[/tex]
Solution:
Let Length (L) of Rectangle be x cm
[tex]~[/tex]
Using formula:
- [tex] \underline{ \boxed { \textbf{ \textsf{Perimeter \: of \: Rectangle = 2 (L + B)}}}} \pink \bigstar[/tex]
[tex]~[/tex]
Putting values in the formula:
[tex]\longrightarrow \sf 148 = 2 (x + 36)[/tex]
[tex]\longrightarrow \sf 148 = 2x + 72[/tex]
[tex]\longrightarrow \sf 148 - 72 = 2x [/tex]
[tex]\longrightarrow \sf 76 = 2x [/tex]
[tex]\longrightarrow \sf x = 76/2 [/tex]
[tex]\longrightarrow \sf x = 38 [/tex]
[tex]~[/tex]
[tex]\therefore[/tex] Length of Rectangle is 38 inches.
Given:
- Perimeter of the rectangle = 148 inches
- Width of the Rectangle = 36 Inches
⠀
To Find :
- Length of the Rectangle
⠀
Solution:
- Let's assume the length of the rectangle as x inches
⠀
We know that,
[tex] \qquad{ \bold{ \pmb{2(Length + Width) = Perimeter}}}[/tex]
⠀
Now, Substituting the given values in the formula :
⠀
[tex] \qquad \dashrightarrow \sf 2(x + 36) = 148 [/tex]
[tex]\qquad \dashrightarrow \sf 2x + 72 = 148 [/tex]
[tex]\qquad \dashrightarrow \sf 2x = 148 - 72[/tex]
[tex]\qquad \dashrightarrow \sf 2x = 76[/tex]
[tex]\qquad \dashrightarrow \sf x = \dfrac{76}{2} [/tex]
[tex]\qquad \dashrightarrow { \bf{\pmb{ x = 38}}}[/tex]
⠀
Hence, the length of the rectangle is 38 inches.
