Question

the length and the breth of rectangular feild are in ratio of 7:4 perimeter is 440m find it length and breath.​

Answer 1

Given

• Length and Breadth = 7:4
• Perimeter = 440 m

Explanation

☯ Let the length and Breadth of the rectangle be 7x and 4x Respectively and we can find as:-

$\\ \maltese {\pmb{\boxed{\sf{ Perimeter_{(Rectangle)} = 2(l+b) }}}} \\ \\ \\ \colon\implies{\sf{ 440 = 2(7x+4x) }} \\ \\ \\ \colon\implies{\sf{ 440 = 2(11x) }} \\ \\ \\ \colon\implies{\sf{ 440 = 22x }} \\ \\ \\ \colon\implies{\sf{ \cancel{ \dfrac{440}{22} } = x }} \\ \\ \\ \colon\implies{\sf{ x = 20 }}$

☯ Now, We can find exact value of length and breadth of the rectangle by substituting value of "x" in their supposing value as:-

$\maltese \ {\sf{ Length = 7x = 7 \times 20 }} \\ \\ \mapsto {\sf{ 140 \ m }} \\ \\ \\ \maltese \ {\sf{ Breadth = 4x = 4 \times 20 }} \\ \\ \mapsto {\sf{ 80 \ m }}$

Hence,

• The Length and Breadth of the Rectangular field is 140m and 80m Respectively.