Question

The length of a. rectangle is 1 cm more
than its breadth and its perimeter is
14 cm. Area of the rectangle is (JNV 1998]
(1) 16 cm (2) 14 cm (3) 12 cm? (4) 10 cm​

Answer 1

$\huge\orange{\underline {\mathscr{A}}} \orange{\underline {\mathbb {\green{ns}}}} \orange{\underline {\mathfrak \red{we}}}\orange{\underline \bold \pink{r}}$

Let the breath of the rectangle be $'x'$.

Length =

$'x$+1'

Perimeter = 2(l+b) = 14 cm

$2( x + 1 + x) = 14 \\ = > 2x + 1 = 14 \div 2 \\ = > 2x = 7 - 1 \\ = > x = 6 \div 2 \\ = > x = 3 \\ \\ x = 3cm \: breadth \: \: \: \: \: \: \: \: x + 1 = 3 + 1 = 4cm \: length$

Area = l×b

$4 \times 3 = 12c {m}^{2}$

3rd option is the answer