Question

10. The perimeter of a regular pentagon is 100 cm. How long is its each side?

11. Raju bought a book for Rs. 35.65. He gave Rs. 50 to the shopkeeper. How much
money did he
get back from the shopkeeper?

12. Aakash bought vegetables weighing 10kg. Out of these 3 kg 500 g is onions, 2
kg 75 g is tomatoes and the rest is potatoes. What is the weight of the potatoes?​

Answer 1

Answer:

10)

Perimeter of regular pentagon = 100 cm

\Rightarrow5\times side=100⇒5×side=100

Side = \frac{100}{5}

5

100

Side = 20 cm

Length of each side of pentagon is 20 cm.

11)50 to the shopkeeper. How much money did he get back from the shopkeeper? Hence, Raju gets Rs. 14.35 back from the shopkeeper.

12)

Out of this, 3 kg 500 g is onions, 2 kg 75 g is tomatoes and the rest is potatoes. What is the weight of the potatoes? Hence, potatoes weigh 3.75 kg.

Answer 2

Answer:

$\Large\underline {\red {\sf {\pmb{1.Question}}}}$

The perimeter of a regular pentagon is 100 cm. How long is its each side?

$\Large{\underline{ \red {\sf{ \pmb{Solution}}}}}$

Given

• ✠ The perimeter of a regular pentagon is 100 cm.

To Find

• ✠ How long is its each side of pentagon

Using Formula

${\underline {\boxed{\sf{Side = \dfrac{Perimeter}{5} }}}}$

Answer

$\implies{\sf{Side = \dfrac{Perimeter}{5} }}$

• Substituting the values

$\implies \sf{Side = \cancel\dfrac{100 \: cm}{5} }$

$\implies \sf{Side = 20\: cm }$

${\large{\star \: \underline{ \boxed{\bf \purple{Side = 20\: cm }}}} \: \star}$

• ➠ The lengh of each side of pentagon is 20 cm
• ➠ For More - Check the attachment Please

$\begin{gathered} \: \: \end{gathered}$

$\Large\underline{\red {\sf {\pmb{2.Question}}}}$

Raju bought a book for Rs. 35.65. He gave Rs. 50 to the shopkeeper. How much money did he get back from the shopkeeper?

$\Large\underline{\red {\sf {\pmb{Solution}}}}$

Given

• ✠ Raju bought a book for Rs. 35.65.
• ✠ Raju gave Rs. 50 to the shopkeeper.

To Find

• ✠ How much money did he get back from the shopkeeper?

Answer

$\underline {\boxed{ \sf{Amount \: Left = Given \: money \: to \: shopkeeper-Book \: cost}}}$

• Substituting the values

$\implies{ \sf{Amount \: Left =50 - 35.65}}$

$\begin{gathered}& \: \: \: \: {5 \: 0.0 \: 0 } \\& { - 3 \: 5.6 \: 5} \\ & \: \: \: \: \: {\boxed{\boxed{1 \: 4 .3 \: 5}}}\end{gathered}$

${\large \star \: {\underline{\boxed{ \bf \purple{Amount \: Left =Rs.14.35}}}} \: \star}$

• ➠ Total 14.35 rupee ruju get back from the shopkeeper.

$\begin{gathered} \: \: \end{gathered}$

$\Large\underline{\red{\sf{\pmb{3.Question}}}}$

Aakash bought vegetables weighing 10kg. Out of these 3 kg 500 g is onions, 2 kg 75 g is tomatoes and the rest is potatoes. What is the weight of the potatoes?

$\Large\underline{\red {\sf {\pmb{Solution}}}}$

Given

• ✠ Total weight of the vegetables = 10 kg
• ✠ Weight of onion = 3 kg 500 g = 3.5 kg 
• ✠ Weight of tomato = 2 kg 75 g = 2.075 kg 

To Find

• ✠ What is the weight of the potatoes?

Answer

Total weight of onion and potato

$\implies \sf{3.500\: kg + 2.075 \: kg }$

$\begin{gathered}& \: \: \: \: {3 \:. \: 5 \: 0 \: 0 } \\& { + \: 2 \: .\: 0 \: 7\: 5} \\ & \: \: \: \: \: {\boxed{\boxed{5 \: . \: 5 \: 7 \: 5}}}\end{gathered}$

So, The rest weight of potato

$\sf \implies{10.000 - 5.575}$

$\begin{gathered}& \: \: \: \: {1 \: 0 \:. \: 0 \: 0 \: 0 } \\& { - \: \: \: 5 \: .\: 5 \: 7\: 5} \\ & \: \: \: \: \: \: {\boxed{\boxed{ \: 4\: . \: 4 \: 2 \: 5 \: }}}\end{gathered}$

${\large\star \: \underline{\boxed{ \bf \purple{Total \: weight \: of \: Potato= 4.425 kg}}} \: \star}$

• ➠ The total weight of the potatoes is 4.425 kg