if the perimeter of a rectangular plot is 68 metre and length of its diagonal is 26 metre ,find its area
Answers
Answered by
7
Since P= 2(l+b)
= 68m = 2(l+b)
= 34m = l+b .. 1.
d = √l^2+b^2
= 26m = √l^2+b^2
= 26^2 = l^2+b^2
= 676 = l^2+b^2
= 676 = (l+b) ^2 - 2lb .. 2.
Put value of eq. 1 in eq. 2.
= 676 = 34^2 - 2lb
= 2lb = 1156 - 676
= 2lb = 480 m^2
= lb = 480/2 m^2
Area of a rectangle = 240m^2.
Hope it's helpful to u.
= 68m = 2(l+b)
= 34m = l+b .. 1.
d = √l^2+b^2
= 26m = √l^2+b^2
= 26^2 = l^2+b^2
= 676 = l^2+b^2
= 676 = (l+b) ^2 - 2lb .. 2.
Put value of eq. 1 in eq. 2.
= 676 = 34^2 - 2lb
= 2lb = 1156 - 676
= 2lb = 480 m^2
= lb = 480/2 m^2
Area of a rectangle = 240m^2.
Hope it's helpful to u.
Similar questions