Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm

• Engineering and Architecture • Computer Application and IT • Pharmacy • Hospitality and Tourism • Competition • School • Study Abroad • Arts, Commerce & Sciences • Management and Business Administration • Learn • Online Courses and Certifications • Medicine and Allied Sciences • Law • Animation and Design • Media, Mass Communication and Journalism • Finance & Accounts As we can see in the rectangle, By Pythagoras theorem, Now as given in the question, Diagonal = 41 cm. Length = 40 cm. So, Putting these value we get, Hence the width of the rectangle is 9 cm. So The perimeter of the rectangle = 2 ( Length + Width ) = 2 ( 40 cm + 9 cm ) = 2 x 49 cm = 98 cm Hence the perimeter of the rectangle is 98 cm.

• It has four sides and four angles. • All the angles are right angles. • Opposite sides are parallel and equal in length. Perimeter of Rectangle Perimeter of the rectangle is the total summation of the boundary of all the sides of the rectangle. It is the sum of all the edge lengths of the rectangle. Perimeter of rectangle = Sum of all sides of rectangle Perimeter of rectangle = Length + Breadth + Length + Breadth Let us assume P to be the perimeter of the rectangle and l and b to be its length and breadth respectively. Now, Perimeter, P = 2 (l+b) Substituting the values, P = 40 cm 40 = 2(l+5) 20 = l+5 l = 15 cm Therefore, Length of the rectangle is 15 cm. Sample Questions Question 1. If the perimeter of a rectangle is 100 cm and its breadth is 10 cm then find its length? Solution: Here we have to find the length of the rectangle when its perimeter and breadth are given, Given: Perimeter of rectangle = 100 cm Breadth of the rectangle = 10 cm We have to find Length of the rectangle = assume ‘l’ As we know that Perimeter of rectangle = 2×(length + breadth) Putting the given values in the formula 100 = 2×(l + 10) 100 = 2l + 20 100 – 20 = 2l 2l = 80 l = 80/2 l = 40 cm Therefore, Length of the rectangle is 40 cm. Question 2. Calculate the breadth of the rectangular park when the perimeter of the rectangle is 250 m and its length is 100 m? Solution: Here we have to find the breadth of the rectangle when its perimeter and length are given, Given: Perimeter of rectangle = 250 m L...

Quick navigation: • • • Perimeter of a rectangle formula The formula for the perimeter of a rectangle is (width + height) x 2, as seen in the figure below: This is the equivalent of adding all four sides, since opposite sides are of equal length by definition. Make sure the calculation is done using the same unit - the result will also be in that unit, e.g. mm, cm, meters, km, or in, ft, yd, miles. How to calculate the perimeter of a rectangle? First, measure each side and record the measurement using the same units. If you are working off a plan or schematic, you already have the measurement. Then, use the formula above, or use our perimeter of a rectangle calculator, whichever is easier for you. It's as simple as that. The applications of rectangular geometry are key in various sciences and practical scenarios, e.g. in construction, engineering, home decoration, landscaping, and others. Example: find the perimeter of a rectangle Say there is a rectangular garden and a wall needs to be raised on all sides of it. How long should the wall be? The answer is that it needs to be as long as the perimeter of the rectangular garden. If one side of the garden is 30 feet and the other is 10 feet, what is its perimeter? The answer is simply 30 x 10 = 300 feet. So one would need to build a 300-feet wall in order to completely surround the garden.

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