Question

The perimeter of a rectangle is 40 cm. The length of the rectangle is less than double its breadth by 1 cm. Find the length and breadth.

1️⃣ Length = 17 cm and Breadth = 8 cm
2️⃣ Length = 13 cm and Breadth = 7 cm
3️⃣ Length = 14 cm and Breadth = 6 cm
4️⃣ Length = 15 and Breadth = 8 cm​

Answer 1

$\huge\fcolorbox{cyan}{orange}{Solutions:-}$

$\fbox\pink{\fbox\orange{Given:-}}$

$\green{Perimeter = 40 \: cm} \\ \blue{length = 2 \times breadth - 1}$

$\fbox\pink{\fbox\orange{formula}}$

$\pink{perimeter = 2(length \times breadth)}$

$\fbox\red{\fbox\green{by \: the \: problem}}$

$\red{let \: breadth \: be \: b} \\ \pink{let \: length = 2 \times b - 1 }\\ \blue {= 2b - 1 }$

$\fbox\pink{\fbox\orange{plot \: the \: value}}$

$\green{perimeter = 2(length + breadth)} \\ = > \red{ 40= 2(2b - 1 + b) }\\ = > \pink{40= 2(3b - 1) }\\ = > \green{ 40= 6b - 2 }\\ = > \orange {42 = 6b} \\ = > \purple{ b = \frac{42}{6} } \\ = > \red{7cm}$

$\fbox\pink{\fbox\purple{Answer:-}}$

$\red{breadth = 7cm }\\ \green{ length = 2 \times 7 - 1 = 13cm}$

$\fbox\red{\fbox\blue{Option = 2 \: is \: correct}}$