Question

(c) (3) The ratio of the length to the breadth of a rectangle is 7:4. If the perimeter of the rectangle is 220 m, the length of the rectangle would be: (a) 40 m (b) 70 m 110 m (d) 22 m (4) A bus takes 48 minutes to cover a certain distance when travelling at a speed of 50 km/h. The distance covered by the bus is: (a) 2400 km (b) 400 km (c) 32 km (d) 40 km​

Answer 1

Question 1

The ratio of the length to the breadth of a rectangle is 7:4. If the perimeter of the rectangle is 220 m, the length of the rectangle would be:

(a) 40 m

(b) 70 m ✓

(c) 110 m

(d) 22 m

Solution

Let

• The length = 7x
• The breadth = 4x

Perimeter of Rectangle is 220m

P = 2(l + b)

⟹ 220 = 2(7x + 4x)

⟹ 220 = 2(11x)

⟹ 220 = 22x

⟹ 22x = 220

⟹ x = $\sf\cancel\dfrac{220}{22}$

⟹ x = 10

Therefore

• Length = 7x = 7×10 = 70m
• Breadth = 4x = 4×10 = 40m

Hence, length of the rectangle will be 70m.

$\rule{200pt}{1pt}$

Question 2

A bus takes 48 minutes to cover a certain distance when travelling at a speed of 50 km/h. The distance covered by the bus is:

(a) 2400 km

(b) 400 km

(c) 32 km

(d) 40 km ✓

Solution

Time taken by the bus = 48minutes.

Speed of the bus = 50km/h = $\sf\cancel\dfrac{50}{60}$$\sf=\dfrac{5}{6}km/m$

Distance = Speed × Time

Distance = $\sf\dfrac{5}{6}×48$

Distance = 5 × 8

Distance = 40km

Therefore, the distance covered by the bus is 40 km.

$\underline{\rule{200pt}2pt}$

Answer 2

QUESTION :

The ratio of the length to the breadth of a rectangle is 7:4. If the perimeter of the rectangle is 220 m, the length of the rectangle would be:

★ Given :

• The Ratio = 7:4
• Perimeter of Rectangle = 220m

★ To find :

• The measures of the sides of the Rectangle

formula used :

${ \underline{ \boxed{ \bf{ \bold{\pink{2(Lenght+Breadth)}}}}}} \: \: \: \bigstar$

★ Solution :

let ,

• length = 7 x
• breadth = 4 x

Perimeter of Rectangle =

$\sf{ : \implies 2(Lenght+Breadth)}$

$\sf{ : \implies2(7x+4x)=220}$

$\sf{ : \implies14x+8x=220}$

$\sf{ : \implies \: 22x=220}$

$\sf{:\implies x=\dfrac{220}{22} }$

$:\implies \: { \underline{ \boxed{ \pink{\frak{ x=10}}}}}$

Therefore,

• Length = 7x = 7×10

= 70m

• Breadth = 4x = 4×10

= 40m

∴ The length is 70m and breadth is 40m