Question

4. Find the breadth of a rectangle if its length and
area are:
a. 20 mm and 100 sq. mm
b. 140 cm and 500 sq. cm
c. 40 mm and 12 sq. cm​

Answer 1

Step-by-step explanation:

a. area of rectangle = l × b

100 = 20 × b

b = 5 mm

b.500 = 140 × b

b = 3.57 cm

c.1 cm = 10 mm

40mm = 4cm

12 cm² = 4cm × b

b = 3cm

Hope it helps..

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Answer 2

Question:

Find the breadth of a rectangle if its length and area are:

• 20 mm and 100 sq. mm
• 140 cm and 500 sq. cm
• 40 mm and 12 sq. cm

To find:

• In each case we have to find breadth of rectangle

Solution :

Part a:

Given:

• Length of rectangle = 20mm
• Area of rectangle =100mm²

Let:

• Breadth of rectangle = x

We know:

$\bigstar \boxed{ \rm{Area \: of \: rectangle = length \times breadth }}$

by using this formula we can find value of breadth

$: \implies\sf{Area \: of \: rectangle = length \times breadth }$

put value of area and length and Area

$: \implies\sf{100 = 20 \times x }$

$: \implies\sf{ \dfrac{100}{20} = x }$

$: \implies\sf{ \cancel \dfrac{100}{20} = x }$

$: \implies \boxed{\sf{ x = 5 \: mm }} \orange \star$

.°. Breadth of rectangle = 5 mm

Part b:

Given :

• Length of rectangle = 140 cm
• Area of rectangle =500cm²

Let:

• Breadth of rectangle = x

We know

$\bigstar \boxed{ \rm{Area \: of \: rectangle = length \times breadth }}$

by using this formula we can find value of breadth

$: \implies\sf{Area \: of \: rectangle = length \times breadth }$

put value of area and length and Area

$: \implies\sf{500 = 140\times x }$

$: \implies\sf{ \dfrac{50\cancel0}{14\cancel0} = x }$

$: \implies\sf{ \dfrac{25}{7} = x }$

$: \implies \boxed{\sf{ x = 3.6\: cm }} \pink \star$

.°. Breadth of rectangle = 3.6 cm

part c:

Given :

• Length of rectangle =40 mm = 4cm
• Area of rectangle =12 cm²

Let:

• Breadth of rectangle = x

We know

$\bigstar \boxed{ \rm{Area \: of \: rectangle = length \times breadth }}$

by using this formula we can find value of breadth

$: \implies\sf{Area \: of \: rectangle = length \times breadth }$

put value of area and length and Area

$: \implies\sf{12= 4\times x }$

$: \implies\sf{ \dfrac{12}{4} = x }$

$: \implies\sf{ \cancel \dfrac{12}{4} = x }$

$: \implies \boxed{\sf{ x = 3 \: cm}} \orange \star$

.°. Breadth of rectangle =3cm

And all we are done!✔

:)