Question

17. Find the area of a pathway, 2m wide, constructed all around a house. The house is 15 m long and 10 m wide.​

Answer 1

Answer:

Area of the pathway is 54m^2

Step-by-step explanation:

Area of the pathway=Total area along with

width-

Area of the house

=[17×12]-[15×10]

=204-150

=54m^2

Hope it helped. If you satisfy then mark:-)

Answer 2

Given,

Length of the house is $15m$ and breadth is $10m$.

A pathway of $2m$ wide is constructed around the house.

So, length of house including pathway is $(15+2)=17m$.

Breadth of house including pathway is $(10+2)=12m$.

We know that, formula for area of rectangle $=$ (length $\times$ breadth)

The area of house $=15\times10=150m^{2}$.

The area of house including pathway $=17\times12=204m^{2}$.

The area of a pathway $=$ (Area of house including pathway)$-$(Area of house).

$=204-150$

$=54m^{2}$.

Hence, area of a pathway around the house is $54m^{2}$.