Math, asked by gayathris77, 10 months ago

The sides of a rectangle are in the ratio 4:7 ....The perimeter is 144cm ....Pls answer quickly ...emergency ...will give 50 pets

Answers

Answered by CᴀɴᴅʏCʀᴜsʜ
0

Answer:

Let the ratio of sides of rect. be 4x : 7x

Perimeter = 144 cm

A/q

2 ( l + b ) = perimeter

=> 2 ( 4x + 7x ) = 144

=> 11x = 144/2

=> 11x = 72

=> x = 72/11 cm

Length = 7x = 7× 72/11 = 504/11 cm

breadth = 4x = 4 × ,72/11 = 288/11 cm

Hope it helps you...

Answered by Anonymous
5

\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}

Given :

  • Breadth of rectangle = 4x
  • Length of rectangle = 7x
  • Perimeter of rectangle = 144 cm

___________________________

To Find :

We have to find the sides of the rectangle.

__________________________

Solution :

We Know the formula to find the perimeter of the rectangle.

\large{\boxed{\sf{Perimeter = 2(L + B) }}}

Where,

L is length and B is breadth.

\sf{\implies \: 144 \: = \: 2(4x + 7x)} \\ \\ \sf{\implies \: 144 \: = \:  2(11x)} \\ \\ \implies {\sf{22x \: = \: 144}} \\ \\ \implies {\sf{x \: = \: \dfrac{144}{22}}} \\ \\ \implies {\sf{x \: = \: 6.54}}

  • Length = 7x = 7 × 6.54 = 45.78 cm
  • Breadth = 4x = 4 × 6.54 = 26.16 cm
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