If the diagonal of a rectangle is 13 cm andits perimeter is 34 cm, the

1.	If the diagonal of a rectangle is 13 cm andits perimeter is 34 cm, then its area will be
Answer» Perimeter of Reactangle = 34 cmDiagonal of Reactangle = 13 cm Let length of Reactangle = lLet breadth of Reactangle = b Perimeter = 2(l + b)2( l + b) = 34l + b = 17 Diagonal of Reactangle= (l^2 + b^2)^1/2(l^2 + b^2) = 169 We know(l + b) ^2 = l^2 + b^2 + 2lb1717 = 169 + 2lb2lb = 289 - 169lb = 120/2 = 60 Therefore area of Reactangle = lb = 60 cm^2

If the diagonal of a rectangle is 13 cm andits perimeter is 34 cm, then its area will be

Answer»

Perimeter of Reactangle = 34 cmDiagonal of Reactangle = 13 cm

Let length of Reactangle = lLet breadth of Reactangle = b

Perimeter = 2(l + b)2( l + b) = 34l + b = 17

Diagonal of Reactangle= (l^2 + b^2)^1/2(l^2 + b^2) = 169

We know(l + b) ^2 = l^2 + b^2 + 2l*b17*17 = 169 + 2l*b2l*b = 289 - 169l*b = 120/2 = 60

Therefore area of Reactangle = l*b = 60 cm^2