Question

lenth of a rectangle is 5m less than turce the breaqth if the peremeter is 50m findi the and breath

Answer 1

Answer:

2 (L+B) = 50

L+B= 25

B-L = 5

B = 15

L = 10

Answer 2

Given: Perimeter of rectangle is 50 m. & Length of rectangle is 5m less than thrice the breadth.

❍ Lets consider Breadth of rectangle be x m. Then, Breadth of rectangle will be 3x m.

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We know that,

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$\begin{gathered}\bigstar\:{\underline{\boxed{\sf{\purple{Perimeter_{\:(rectangle)} = 2(Length + Breadth)}}}}}\\\\\\ :\implies\sf 2(3x - 5 + x) = 50\\\\\\ :\implies\sf 6x - 10+ 2x = 50\\\\\\:\implies\sf 8x - 10 = 50\\\\\\ :\implies\sf 8x = 40\\ \\ \\ : \implies\sf x = {\cancel{ \dfrac{40}{8}}}\\\\\\ :\implies{\underline{\boxed{\pmb{\frak{\pink{x = 5}}}}}}\:\bigstar\\\\\end{gathered}$

Hence,

⠀⠀▪︎⠀ Breadth of rectangle, x = 5 m

⠀⠀▪︎⠀ Length of rectangle, 3x - 5 = 10 m

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$\therefore\:{\underline{\sf{Length\:\&\:breadth\:of\:rectangle\:is\:{\pmb{10\:m}}\:\&\:{\pmb{5\:m}}\:respectively.}}}$

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★ More to know :

• Area of rectangle = length × breadth

• Diagonal of rectangle = √(length² + breadth²)

• Area of square = side × side

• Perimeter of square = 4 × side

• Diagonal of square = √2 × side