contestada

The perimeter of a rectangular pool is 294m.
If the length of the pool is 79m , what is its width?

Respuesta :

boatengalbert291
Perimeter is the total distance around a plane figure.For a rectangle it has 4 sides hence its perimeter is the sum of all four sides (2 lengths and 2 widths ) i.e

Perimeter =2(length) +2(width)
P=2L+2W
294=2(79)+2W
294=158+2W
294-158=2W
136=2W
Divide through by 2
W=68
Hence the width of the pool is 68m

Given :

  • The perimeter of a rectangular pool is 294m.
  • The length of the pool is 79m.

⠀

To Find :

  • The width of the rectangular pool.

⠀

Solution :

We know that,

[tex]\qquad{ \bold{ \pmb{2(Length + Breadth ) = Perimeter_{(rectangle)}}}}[/tex]

Let's assume the width of the pool as x m.

Now, Substituting the given values in the formula :

[tex]\qquad \dashrightarrow{ \sf{2(79 + x )= 294}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{158 + 2x = 294}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{2x = 294 - 158}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{2x = 136}}[/tex]

[tex]\qquad \dashrightarrow{ \sf{ \dfrac{2x}{2} = \dfrac{136}{2} }}[/tex]

[tex]\qquad \dashrightarrow{ \bf{x = 68}}[/tex]

Therefore,

[tex]\qquad { \pmb{ \bf{ Width _{(rectangular \: pool)} = 68 \: m}}}\:[/tex]

Otras preguntas