Question

12 yrs and 36 yrs
015. The length of a rectangle, given the perimeter is 13 cm and its width
is 2.75 cm, is
2 poin
0 3075 m
0 0.375 m
O 00375 m
none of the above
Submit​

Answer 1

CORRECT QUESTION:

Q15. The length of a rectangle, given the perimeter is 13 cm and its width is 2.75 cm, is

• 3.075 m
• 0.375 m
• 0.0375 m
• none of the above

✰ ANSWER ✰

(c) 0.0375 m (✔)

GIVEN:

• Perimeter of rectangle = 13 cm
• Breadth of rectangle = 2.75 cm

TO FIND:

• What is the length of the rectangle ?

SOLUTION:

Let the length of the rectangle be 'l' cm

We know that the formula for finding the perimeter of the rectangle is:-

$\bf{\star \: Perimeter = 2(Length + Breadth) \: \star}$

According to question:-

On putting the given values in the formula, we get

$\rm{\dashrightarrow 13 = 2(l + 2.75) }$

$\rm{\dashrightarrow 13 = 2l + 5.5}$

$\rm{\dashrightarrow 13 - 5.5 = 2l }$

$\rm{\dashrightarrow 7.5 = 2l }$

$\rm{\dashrightarrow \cancel\dfrac{7.5}{2} = l }$

$\rm{\dashrightarrow 3.75 \: cm = l }$

Convert cm into m:-

➝ $\bf{ 1 \: cm = \dfrac{1}{100} \: m}$

➝ $\bf{ 3.75 \: cm = \dfrac{3.75}{100} \: m}$

$\large\bf{\star \: Length = 0.0375 \: m \: \star}$

❝ Hence, the length of the rectangle is 0.0375 m. ❞

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Answer 2

Sᴏʟᴜᴛɪᴏɴ :-

→ width of Rectangle = 2.75cm.

→ Perimeter of Rectangle = 13cm.

→ Length of Rectangle = Let L.

Comparing the perimeter with formula :- 2(Length + Breadth) we get,

→ 2(L + B) = 13

→ 2(L + 2.75) = 13

→ 2L + 5.5 = 13

→ 2L = 13 - 5.5

→ 2L = 7.5

→ L = 3.75cm.

Now,

→ 100cm ----------------- 1m

→ 1cm ----------------- (1/100)m

→ 3.75cm ----------------- (1/100) * 3.75 = 0.0375m. (Ans.)

Hence, Length of Rectangle is 0.0375m..

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Extra :-

1) Each of the interior angles of a rectangle is 90°.

2) The diagonals of a rectangle bisect each other.

3) The opposite sides of a rectangle are parallel.

4) The opposite sides of a rectangle are equal.

5) A rectangle whose side lengths are a and b has area = a×b×sin90° = a×b

6) A rectangle whose side lengths are a a and b b has perimeter 2(a + b)...

7) The length of each diagonal of a rectangle whose side lengths are a and b is √(a²+b²)..

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