If the length and breath of the rectangle is 16 cm and 20cm and the perimeter of the rectangle is equal to the perimeter of the squar. Wthat is the ratio of the areaof th rectangle to area of the square
Answers
Given :-
length of the rectangle = 20cm
breadth of the rectangle = 16cm
formula to find the perimeter of a rectangle = 2(l + b)
perimeter of the rectangle = 2(l + b)
= 2(20 + 16)
= 2 × 36
= 72cm
ATQ,
perimeter of rectangle = perimeter of square
therefore perimeter of the square = 72cm
➡ side × 4 = 72cm
➡ side = 72/4
➡ side = 18cm
the side of the square is 18cm.
now,
area of the rectangle = length × breadth
= 20 × 16
= 320cm²
area of the square = side × side
= 18 × 18
= 324cm²
ratio between their areas :-
= 324/320
= 81/80
hence, the ratio between the area of the rectangle to the square is 81 : 80
Answer:
Given⤵⤵
Length of rectangle = 20 cm
Breadth of rectangle = 16 cm
Perimeter of rectangle = 2(l + b)
★ 2(20 + 16) cm
★ 2(36) cm
★ 72 cm..........[perimeter of rectangle]
As, above in the question it is written that perimeter of rectangle is equal to perimeter of square . So,
perimeter of square = perimeter of rectangle
4 * side = 72 cm
side = 72/4 cm
side = 18 cm ...........[side]
___________________
As we know that area of square = side * side
Area of square = 18 * 18
area of square = 324 cm².......[area]
And, area of rectangle = Length * breadth
» 20 * 16
» 320 cm².........[area of rectangle]
Know ratio between their areas is
» 324 / 320
» 81 / 80