THE DIMENSIONS OF A RECTANGLE ARE 48 CM AND 14 CM. FIND THE LENGTH OF

1.	THE DIMENSIONS OF A RECTANGLE ARE 48 CM AND 14 CM. FIND THE LENGTH OF THE DIAGONAL OF THE RECTANGLE
Answer» GIVEN: Length of the rectangle = 48 cm Breadth of the rectangle = 14 cm TO FIND: What is the length of the diagonal of the rectangle ? SOLUTION: Let the diagonal of the rectangle be 'x' cm We know that the formula for finding the diagonal of rectangle is:- $\large{\boxed{\bf{\star \: (DIAGONAL)^2 = (BASE)^2 + (<klux>PERPENDICULAR</klux>)^2 \: \star}}}$ According to question:- Perpendicular = 14 cm Base = 48 cm On putting the given VALUES in the formula, we get $\sf{\longmapsto (x)^2 = (48)^2 + (14)^2 }$ $\sf{\longmapsto x^2 = 2304 + 196 }$ $\sf{\longmapsto x^2 = 2500}$ $\sf{\longmapsto x = \sqrt{2500} }$ $\bf{\longmapsto x = <klux>50</klux> \: cm }$ DIAGONAL = x = 50 cm ❝ Hence, the diagonal of the rectangle is 50 cm ❞ ______________________