Question

Q
10.
13. Area of a rectangular field is 800 sq meters. If its length is twice of its breadth, then what is its length and breadth
10
1.40 m, 20 m
2. 20 m, 40 m
3. 30 m, 50 m
4. 30 m, 60 m​

Answer 1

Answer:

1:40m,20mcan

Step-by-step explanation:

let breadth be x

length=2x

area with new dimension's =length*breadth

= 2x*x

=2xsq.m

so by the question=2xsq.m=800sq.m

xsq.m=800/2sqm

xsq.m=400sq.m

x=√400sq.m

x=20m

length=2x=2×20m=40m

breadth=20m

Answer 2

Given:

area of the rectangular field = 800 sq meters

To Find:

length and breadth of the rectangular field

Solution:

$⟹$Let breadth be "x" ,then length = x²

$⟹$area of the rectangular field = 800m²

$⟹x \times 2x = 800$

$⟹ {2x}^{2} = 800$

$⟹ {x}^{2} = 400$

$∴ \: x = + 20$

$⟹$x cannot be negative

∴ x = 20

$⟹$Breadth of the rectangular field =

$⟹$$\tt\underline\pink{x\: = \:20\:m}$

$⟹$ Length of the rectangular field = 2x

$⟹$20 × 2 = $\bf\underline\pink{ 40m}$

hence, length and breadth of the rectangular field is :

➙ ${\boxed{\sf{\red{length\:=\:40m}}}}$

➞ ${\boxed{\sf{\red{breadth\:=\:20m}}}}$