Question

if the perimeter of a rectangular plot is 68 metre and length of its diagonal is 26 metre ,find its area

Answer 1

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.