Question

if the breadth of rectangle is 13cm and it's width 2¾ cm then it's length (in cm) is​

Answer 1

Step-by-step explanation:

Perimeter of rectange =2 (I +b)

13=2(I +2 3/4)

13=2(I +11/4)

I+11/4=13/2

multiply by 4. (I cm)

4 I+11= 26

4 I=15

I=15/4=3 3/4

length I=3 3/4

Answer 2

$\bf{ \underline{Correct \: question \: ✔}}$

The perimeter of a rectangle is 13 cm and its width is 2¾ cm. Find its length

$\bf{ \underline{→ Given :}}$

• perimeter of rectangle is 13cm.
• width of rectangle is 2¾ cm.

$\bf{ \underline{→ To \: find :}}$

• length of a rectangle ??

$\bf{ \underline{→ Solution :}}$

☯ Let the length of rectangle be 'x'

$\bf{Breadth = 2 \frac{3}{4} = \frac{4 \times2 + 3 }{4} = \frac{11}{4} cm}$

Now, we know that

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

$\bf{13 = 2 (x + \frac{11}{4} )}$

$\bf \frac{13}{2} = x + \frac{11}{4}$

$\bf{x + \frac{11}{4} = \frac{13}{2} }$

$\bf{x = \frac{13}{2} - \frac{11}{4}}$

$\bf{x = \frac{13 \times 2 - 11}{4}}$

$\bf{x = \frac{26 - 11}{4}}$

$\bf{x = \frac{15}{4}} \\ x = 3 \frac{3}{4}$

$\bf{ \purple{∴ Length \: of \: rectangle = x = \boxed{3 \frac{3}{4}cm}}}★</p><p>$