Question

a rectangular plot has a length of 80 metre and the breadth of 45 A 4 metre wide path extend along the inside edge of the blood find the area of the path

Answer 1

Correct Question :

A Rectangular Plot has a length of 80 metre and the breadth of 45 metre. 4 metre wide path extend along the inside edge of the Plot. Find the Area of the Path.

AnswEr :

$\bold{Given} \begin{cases}\sf{Length\:of \: Park \: ( l ) = 80 m} \\ \sf{Breadth \: of \: Park \: ( b ) = 45 m}\\ \sf{Width \: of \: the \: Road \:( w ) = 4 m} \\ \sf{Area \:of \:Road = ?}\end{cases}$

• According to the Question Now :

$\implies \tt Area \:of \:Road = (Area \: of \:Park) - (Area \: of \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt Parts \:Excluding \: the \: Road)$

$\implies \tt Area \:of \:Road = ( l b ) - [(l - 4 \times 2)(b - 4 \times 2)]$

$\implies \tt Area \: of \: Road = (80 \times 45) - [(80 - 8) \times(45 - 8)]$

$\implies \tt Area \: of \:Road = 3600 - ( 72 \times 37)$

$\implies \tt Area \:of \: Road = 3600 - 2664$

$\implies \boxed{\red{\tt Area \:of \:Road = 936 \: {m}^{2}}}$

⠀

∴ Therefore, Area of the Road is 936 m²

$\rule{300}{1}$

• Shortcut Trick :

$\longrightarrow \tt Area \:of \:Road = [(Length + Breadth) - Width] \times Width$

$\longrightarrow \tt Area \:of \:Road = [(80 + 45) - 8] \times 8$

$\longrightarrow \tt Area \:of \:Road = [125 - 8] \times 8$

$\longrightarrow \tt Area \:of \:Road = 117\times 8$

$\longrightarrow \boxed{\red{\tt Area \:of \:Road = 936 \: {m}^{2}}}$

⠀

∴ Therefore, Area of the Road is 936 m².

Answer 2

Answer:

$\huge{\underline{\mathfrak{AnsWer\::}}}$

Given:-

☆Length of the plot=80 m

☆Breadth of the plot = 45 m.

☆ Width of the path = 4 m

Solution:-

Area of the plot including the path = $(80 × 45 ){m}^{2}$

$Area\:including\:path = 3600{m}^{2}$

Then, Length of the plot without the path = {80 - (4×2)}m

= 80-8 m

=72 m

Breadth without the path = {45-(4×2)} m

=45 -8 m

=37 m

Area without path =$(72 × 37){m}^{2}$

$= 2664 {m}^{2}$

★Area of path =(Area including the path)-(Area without the path)

$(3600-2664) {m}^{2}$

$= 936 {m}^{2}$ ★ ★ ★

Hope it helps you ♥ ♥ ♥