Question

the length of a rectangle is 1 metre more than its breadth.it's area is 3 3/4 square metres.what are its length and breadth?

Answer 1

let the breadth be x m.
then length= x+1 m.
area = l×b
$3 \frac{3}{4} = x(x + 1) \\ \frac{15}{4} = {x}^{2} + x \\ 4 {x}^{2} + 4x - 15 = 0 \\ 4 {x}^{2} + 10x - 6x - 15 = 0 \\ 2x(x + 5) - 3(x + 5) = 0 \\ (x + 5)(2x - 3) = 0 \\ x = - 5 \: \: \: \: or \: \: \: \: x = \frac{3}{2} = 1.5 \\ x \: cant \: be \: negative.$
breadth=1.5 m
length=1.5+1=2.5m

Answer 2

Answer:

let the breadth be x m.

then length= x+1 m.

area = l×b

\begin{gathered}3 \frac{3}{4} = x(x + 1) \\ \frac{15}{4} = {x}^{2} + x \\ 4 {x}^{2} + 4x - 15 = 0 \\ 4 {x}^{2} + 10x - 6x - 15 = 0 \\ 2x(x + 5) - 3(x + 5) = 0 \\ (x + 5)(2x - 3) = 0 \\ x = - 5 \: \: \: \: or \: \: \: \: x = \frac{3}{2} = 1.5 \\ x \: cant \: be \: negative. \\\end{gathered}

3

4

3

=x(x+1)

4

15

=x

2

+x

4x

2

+4x−15=0

4x

2

+10x−6x−15=0

2x(x+5)−3(x+5)=0

(x+5)(2x−3)=0

x=−5orx=

2

3

=1.5

xcantbenegative.

breadth=1.5 m

length=1.5+1=2.5m

Step-by-step explanation:

hope I help you !!