107 3.5K views 9 months ago Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41cm. Show more

Book A FREE Class Learn Practice Download Rectangle A rectangle is a quadrilateral in which all the angles are equal and the opposite sides are equal and parallel. There are many rectangular objects around us. Each rectangle shape is characterized by two dimensions, its length and width.

Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm. Medium Solution Verified by Toppr Given diagonal (PR)=41cm, length (PQ)=40cm Let breadth (QR) be x cm. Now, in right angled triangle PQR, (PR) 2=(RQ) 2+(PQ) 2 [By Pythagoras theorem] ⇒(41) 2=x 2+(40) 2 ⇒1681=x 2+1600 ⇒x 2=1681−1600 ⇒x 2=81 ⇒x= 81=9cm

where: w w is the rectangle's width; h h is the rectangle's length; A A is the rectangle's area; P P is the rectangle's perimeter; and d d is the length of the rectangle's diagonal, as described by the Pythagorean theorem. Here's a neat visual: A rectangle with its length h h, width w w, diagonal d d, perimeter P P, and area A A labelled.

Let length, breadth and height of the cuboid be l cm, b cm and h cm, respectively. Given: l + b + h = 38 cm and diagonal = 22 cm. To find: total surface area of the cuboid

Diagonal relationship refers to the similarity in properties between elements located diagonally to each other in the periodic table. Lithium, being the first element in the alkali metal group, shows diagonal relationship with magnesium, which is the second element in the alkaline earth metal group. This relationship is due to the following.