a rectangle and square are equal in area. the side of the square 24 m if the length of the the rectangle is 36 m find the breadth of the rectangle comment on thier perimeters
Answers
Answer:
BREADTH IS 16 AND THE PERIMETEROF THE RECTANGLE IS 104 AND THE SQUARE IS 96
Step-by-step explanation:
24 * 24 IS THE AREA OF THE SQUARE
WHICH IS EQUAL TO THE AREA OF A RECTANGLE WHOSE LENGTH IS 36 METRE AND BREADTH SAY X
SO,
24 * 24 = 36X
576 = 36X
576/36 = X
16 = X
AND THE PERIMETER OF THE RECTANGE IS 2[L+B]
SO,
2 *[36+16] = 104
AND THE PERIMETER OF SQUARE IS 4*SIDE
4 * 24 = 96
Answer:
Hi mate ....
(i)Given ; Area of Rectangle = Area of Square
Area of Square = Side×Side
Given ; side of Square = 24 m
Area of Square = 24×24= 576 m sq.
Area of Rectangle= 576 m sq.
Area of Rectangle= l×b
Given ; Length of Rectangle = 36 m
Breadth = 576÷36 = 16 m
(ii) Perimeter of Square= 4side
Perimeter of Square= 24×4 = 96 m
Perimeter of Rectangle=2(l+B)
Length=36 m
Breadth= 16 m
Perimeter = 2(36+16)
= 2(52)
=104m
Perimeter of Rectangle is more
Hope this helps