14. Perimeter of a rectangular field 50 m long
and 30 m. broad is equal to the perimeter of
a square field. Find the area of the square
field.
Answers
Answer:
Given :
Length of the rectangular field = 50 m
Width of the rectangular field = 30 m
Perimeter of the rectangular field is equal to perimeter of the square field.
To find :
Area of the field.
Solution :
Length of rectangular field = 50 m
Width of rectangular field = 30 m
Then,
Perimeter of rectangular field ,
= 2( Length + Width )
= 2(50+30) cm
= 2 × 80 cm
= 160 cm
Consider,
Side of square field = x m
Then,
Perimeter of square field ,
= 4 × side
= 4 × x cm
= 4x cm
{\underline{\sf{According\:to\:the\: question:-}}}
Accordingtothequestion:−
Perimeter of the rectangular field is equal to perimeter of the square field.
\to\sf{4x=160}→4x=160
\to\sf{x=\dfrac{160}{4}}→x=
4
160
\to\sf{x=40}→x=40
Side of square field =40 cm
Formula Used :-
{\boxed{\bold{Area\:of\: square=side^2}}}
Areaofsquare=side
2
Then,
Area of square field = side²
→ Area of square field = 40² cm²
→ Area of square field = 1600 cm²
Therefore, the area of the square field is 1600 cm².
Answer:
Length of the rectangular field = 50 m
Width of the rectangular field = 30 m
Perimeter of the rectangular field is equal to perimeter of the square field.
To find :
Area of the field.
Solution :
Length of rectangular field = 50 m
Width of rectangular field = 30 m
Then,
Perimeter of rectangular field ,
= 2( Length + Width )
= 2(50+30) cm
= 2 × 80 cm
= 160 cm
Consider,
Side of square field = x m
Then,
Perimeter of square field ,
= 4 × side
= 4 × x cm
= 4x cm
According to the question:−
Perimeter of the rectangular field is equal to perimeter of the square field.
{4x=160}→4x=160
{160}{4}}→x=
4
160
\to\sf{x=40}→x=40
Side of square field =40 cm
Formula Used :-
Area of square=side
2
Then,
Area of square field = side²
→ Area of square field = 40² cm²
→ Area of square field = 1600 cm²
Therefore, the area of the square field is 1600 cm²..
i hope it will help you...