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We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! Solution The correct option is C (c) 44%(c)Solve Textbooks Question Papers Mensuration is a branch of mathematics that deals with geometric shape calculation and its parameters such as area, length, volume, surface area, etc. It deals with both 2D and 3D shapes. Here 2D shapes are those shapes that only have two dimensions such as length and width but no thickness, or have X and Y dimensions. For example, a square, rectangle, triangle, circle, etc. Whereas 3D shapes are those shapes that have 3 dimensions such as length, width, and thickness, or have X, Y, and Z dimensions. For example, bricks, ice-cream cones, football, etc. Mensuration uses mathematical formulas and algebraic equations to solve problems. Rectangle A rectangle is a two-dimensional diagram with four sides. The longer side of the rectangle is the length and the shorter side is called width. It is also known as a quadrilateral with four right angles that is 90° each. If all the sides of a rectangle are equal then the shape is known as a square. Rectangle Properties The properties of a rectangle are given below:
Rectangle Formulae Area: The area of the rectangle is known as the area occupied by the rectangle within its boundary.
Perimeter: Perimeter of a rectangle is known as the total distance covered by the sides of the rectangle. So we can say that the perimeter of the rectangle is the sum of its four sides.
Diagonal: A diagonal in a rectangle is a line that joins the opposite vertices. a rectangle contains a maximum of two diagonals and both of them are of equal length.
If the length of a rectangle is decreased by 6% and breadth is increased by 6%, calculate the percentage change in the area.Solution:
Sample QuestionsQuestion 1: The length of a rectangle was increased by 1% and if breadth is decreased by 1% by what percentage did the area of the rectangle change? Solution:
Question 2: The length of a rectangle was increased by 50% and if breadth is decreased by 50% by what percentage did the area of the rectangle change? Solution:
Question 3: The length of a rectangle was increased by 10% by what percentage did the area of the rectangle change? Solution:
What is the percentage change in the area of rectangle if its length is increased by 15% and its width decreased by 20%?Detailed Solution
∴ The percentage change in area is 12% decrease.
What is the percentage increase in the area of a rectangle if its length is increased by 20?The correct option is C (c) 44%
The percentage increase in the area of a rectangle, if each of its sides is increased by 20%, is: Q.
What is the change in the area of a rectangle if its length is increased by 20% and its width is decreased by 10 %?Hence the area decreases by 4%
What is the percent increase in area when the side of rectangle are increased in length by 100%?now the length and breadth of the given rectangle are increased by 100%. so the area of the new rectangle will increase by 300%.
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