A rectangular field is 85 meters long and 55 meters wide. Give the length and width of another rectangular field that has the same perimeter but a larger area.
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
Perimeter = 2(L + W)
Length = 85 m
Width = 55 m
Perimeter = 2(85 + 55)
= 2(140)
= 280 m
Area of rectangle = l × w
= 85 × 55
= 4675 m²
Now, let length = 80 and with = 60
Perimeter = 2(80 + 60)
= 2(140)
= 280 m
Area of rectangle = 80 × 60
= 4800 m²
Here, perimeter of the rectangle is same but Area is larger.