The length of each diagonal of a rectangle is 50 cm. If its breadth is 14 cm, then what will be the area of the rectangle?
Answer & explanation
Correct answer: option 2
The length of each diagonal of a rectangle is 50 cm
The breadth of rectangle is 14 cm
We know that,
(hypotenuse)2=(Base)2+( Length)2
= Diagonal = hypotenuse = 50 cm
= Breadth = Base = b = 14 cm
= Length = l
According to the Pythagorean theorem =
(50)2=(14)2+ (Length)2
2500 = 196 + (Length)2
2304 = (Length)2
Length = 48
Area of the rectangle = length × breadth
= 48 × 14 = 672 cm2