The area of a square field is 5184m^2.a rectangular field,whose length is twice its breath ,has perimeter equal to the perimeter of the square field.find the area of the rectangular field.
Answers
Answered by
2
let breadth of rectangular field = x
let length pf rectangular field = 2x
let side of square = y
then area of square = 5184m ^2
y × y = 5184
y^2 = 5184
y = 72 (underroot of 5184 is 72)
perimeter of square = perimeter of rectangle
4 × side = 2(length + breadth)
4 × 72 = 2( x + 2x)
288 = 2 × 3x
288 = 6x
x = 288 ÷6
x = 48m
length = 2×48
= 96m
area of rectangle = length × breadth
= 96 × 48
= 4608m^2
let length pf rectangular field = 2x
let side of square = y
then area of square = 5184m ^2
y × y = 5184
y^2 = 5184
y = 72 (underroot of 5184 is 72)
perimeter of square = perimeter of rectangle
4 × side = 2(length + breadth)
4 × 72 = 2( x + 2x)
288 = 2 × 3x
288 = 6x
x = 288 ÷6
x = 48m
length = 2×48
= 96m
area of rectangle = length × breadth
= 96 × 48
= 4608m^2
Similar questions