Math, asked by sunainaam, 9 months ago

the lenght of a rectangle with a perimeter of 120cm is 1.4cm times its width.

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Answered by prashant12330

Answer:

hey mate , your question is not complete , please complete your question ...

Answered by Anonymous

$<body bgcolor = black><font color = white>$

$\boxed{\red{\bf{ Question : }}}\\$

the length of a rectangle with a perimeter of 120cm is 1.4cm times its width.

$\boxed{\green{\bf{ Solution : }}}\\$

perimeter of rectangle = (l + b)2

120cm = (b × 1.4cm + b)× 2

120 cm = (2b× 1.4cm) × 2

120cm = 4b × 2.8 cm

120cm / 4. = b × 2.8cm

30cm / 2.8 cm = b

30cm × 10 /28cm = b

30 cm × 5/14cm = b

15cm × 5 /7cm = b

75/7 = b

${\blue{ width\: of\: rectangle = 75/7 cm }}\\$

${\pink{ length\: of\: rectangle = 75/7 cm × 1.4cm}}\\$

${\pink{ length\: of\: rectangle = 75/7 cm × 14cm/10}}\\$

${\pink{ length\: of\: rectangle = 75/1 cm × 2cm/10}}\\$

${\pink{ length\: of\: rectangle = 75/1 cm × 1cm/5}}\\$

${\pink{ length\: of\: rectangle = 15/1 cm × 1cm/1}}\\$

${\pink{ length\: of\: rectangle = 15cm}}\\$

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