Question

The question is in the diagram, Thank you!

Answer 1

❥${\underline{\underline{\large{\mathtt{ANSWER:-}}}}}$

Perimeter of the rectangle is 42 m.

❥${\underline{\underline{\large{\mathtt{EXPLANATION:-}}}}}$

•Given:-

• Length of the rectangle = 14 m.
• Breadth of the rectangle= (2x+1) m.
• Area of the rectangle= 98 m².

•To find:-

• Calculate the perimeter.

•Solution:-

Area = 98 m².

Length = 14 m.

Breadth= (2x+1) m.

We know,

${\boxed{\sf{\green{Area\:of\: rectangle=Length\times\: Breadth}}}}$

so,

$\sf{Area\:of\: rectangle=14\times\:(2x+1)\:m^2}$

★ According to the question,

$\sf{14\times\:(2x+1)\:=98}$

$\implies\sf{2x+1\:=7}$

$\implies\sf{2x\:=7-1}$

$\implies\sf{2x\:=6}$

$\implies\sf{x\:=3}$

So, Breadth=(2×3+1) m

=7 m.

ᴥNow find the perimeter of the rectangle.

We know,

${\boxed{\sf{\purple{Perimeter\:of\: rectangle=2(Length+ Breadth)}}}}$

Perimeter of rectangle = 2(14+7) m

= 42 m

________________________________________

❥${\underline{\underline{\large{\mathtt{VERIFICATION:-}}}}}$

Breadth = 7 m.

Length = 14 m.

Area of rectangle = 98

→ 7×14 = 98

→ 98 = 98 ( Verified)

__________________________________________

Answer 2

$\huge \mathfrak{Answer:-}$

$\implies$ 42

$\large\underline\mathrm{Given:-}$

• Length of the rectangle = 14m
• Breadth of the rectangle = (2x + 1)
• Area of the rectangle = 98m²

$\large\underline\mathrm{To \: find}$

• Find the perimeter of rectangle.

$\large\underline\mathrm{Solution}$

• Area of rectangle b = L × B

$\implies$ 14 × (2x + 1)m²

$\implies$ 14 × (2x + 1) = 98

$\implies$ 2x + 1 = 7

$\implies$ 2x = 7 - 1

$\implies$ 2x = 6

$\implies$ x = 3

$\large\underline\mathrm{so, }$

$\implies$ Breadth = (2x + 1)

$\implies$ 2 × 3 + 1

$\implies$ 6 + 1

$\implies$ 7

$\large\underline\mathrm{Now,}$

$\large\underline\mathrm{perimeter \: of \: the \: rectangle \: = \ 2(l \: + \: b)}$

$\implies$ 2(14 + 7)

$\implies$ 42

$\large\underline\mathrm{hence,}$

$\large\underline\mathrm{perimeter \: of \: the \: rectangle \: is \: 42m.}$

$\large\underline\mathrm{Hope \: it \: helps \: you \: plz \: mark \: me \: brainlist}$