Question

length and breadth of a rectangular field are in the ratio 3:4 if perimeter of field is 280cm find length and breadth.​

Answer 1

ɢɪᴠᴇɴ :-

Length and breadth of a rectangular field are in the ratio 3:4 if perimeter of field is 280cm.

ᴛᴏ ғɪɴᴅ :-

• Length
• Breadth

sᴏʟᴜᴛɪᴏɴ :-

Let the ratio of length and breadth be 3x : 4x

then,

➲ According to Question :-

• Perimeter of Rectangle = 280 cm

• 2( length + breadth) = 280

➭ 2( l + b) = 280

➭ (l + b) = 280/2

➭ (l + b) = 140

➭ 3x + 4x = 140

➭ 7x = 140

➭ x = 140/7

➭ x = 20

Hence,

• Length (l) = 3x = 3×20 = 60 cm
• Breadth (b) = 4x = 4 × 20 = 80 cm

Answer 2

${ \huge{ \bold{ \underline{ \underline{ \mathfrak{ \red{Question:-}}}}}}}$

▪ Length and breadth of a rectangular field are in the ratio 3 : 4. If perimeter of field is 280 cm. Find the length and breadth.

${ \huge{ \underline{ \underline{ \red{ \mathfrak{Solution:-}}}}}}$

${ \bold{ \underline{ \orange{Given-}}}}$

▪ Perimeter of the rectangular field = 280 cm

▪ The length and breadth of this rectangular field are in the ratio 3 : 4

${ \bold{ \underline{ \orange{To \: find-}}}}$


▪ The length and breadth of the rectangular field??


☆ let the length and breadth be 3x cm and 4x cm respectively....

${ \bold{ \underline{for \: rectangle}}}$

${ \boxed{ \bold{ \red{perimeter = 2(l + b) \: }}}}$

where,

▪ l = length

▪ B = breadth

substituting the values , in the formula......

${ \bold{ perimeter = 2(l + b)}}$

${ \bold{ \implies{280 \: cm = 2(3x + 4x)}}}$

${ \bold{ \implies{7x = \frac{280 \: cm}{2} }}}$

${ \bold{ \implies{7x = 140 \: cm}}}$

${ \boxed{ \bold{ \implies{ \orange{x = 20 \: cm}}}}}$

therefore,

${ \: { \bold{ \red{length = 3x = 3 \times 20cm }}}}$

${ \boxed{ \bold{ \star{ \red{ \: \: length \: = 60 \: cm}}}}}$

${ \bold{ \red{ breadth = 4x = 4 \times 20cm}}}$

${ \boxed{ \bold{ \star{ \red{ \: \: breadth = 80 \: cm}}}}}$