Question

Calculate the area of a rectangle whose length and breadths are given as 3x2y m and 5xy2 m respectively.

Answer 1

$\huge\underline\mathfrak\red{Solution}$

Length = 3x²y m

Breadth = 5xy² m

Area of rectangle = Length × Breadth

Area = 3x²y × 5xy²

Area = 15x³y³ m²

So, the area of rectangle is 15x³y³ m²

Answer 2

Area of the rectangle = 15x³y³ m²

Given :

Length and breadth of a rectangle are given as 3x²y m and 5xy² m respectively

To find :

Area of the rectangle

Formula Used :

Area of rectangle = Length × Breadth

Solution :

Step 1 of 2 :

Write down length and breadth of the rectangle

Length of the rectangle = 3x²y m

Breadth of the rectangle = 5xy² m

Step 2 of 2 :

Calculate area of the rectangle

Area of the rectangle

= Length × Breadth

$\displaystyle \sf = (3 {x}^{2} y \times 5x {y}^{2}) \: \: \: {m}^{2}$

$\displaystyle \sf = (3 \times 5 \times {x}^{2 + 1} \times {y}^{1 + 2} )\: \: {m}^{2}$

$\displaystyle \sf = 15 {x}^{3} {y}^{3} \: \: {m}^{2}$

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