Question

2. Find the areas of rectangles with the following pairs of monomials as their lengths and
breadths respectively.
(p, q); (10m, 5n); (20x², 5y2); (4x, 3x"); (3mn, 4np)​

Answer 1

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Step-by-step explanation:

Question

Find the areas of rectangles with the following pairs of monomials as their lengths and

breadths respectively.

(p, q); (10m, 5n); (20x², 5y²); (4x, 3x"); (3mn, 4np)

Solution

We know that area of A Rectangle = Length × Breadth

Given

1) (p,q)

Area = p × q = pq sq.units

_____________________

2) (10m, 5n)

Area = 10m × 5n = 50mn sq.units

______________________

3) 20x², 5y²

Area = 20x² × 5y² = 100x²y² sq.units

______________________

4) 4x, 3x

Area = 4x × 3x= 12x² sq.units

______________________

5)

(3mn,4np)

Area = 3mn × 4np = 12n²mp sq.units

______________________

Answer 2

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Explanation:

Given:

lengths and breadths of rectangle respectively.

(p, q); (10m, 5n); (20x², 5y2); (4x, 3x"); (3mn, 4np)

To Find :

Area of the Rectangle

$\bold{\boxed{Area of Rectangle=length \times breadth}}$

$\bold{\red{(pq) = p \times q = pq sq.units}}$

$\bold{\blue{10m \times 5n = > 50mn sq.units}}$

$\bold{\pink{20 {x}^{2} \times 5 {y}^{2} = {(100 {x}^{2} {y}^{2} ) }sq. units}}$

$\bold{\green{4x \times 3x = {(12 {x}^{2}) }sq.units}}$

$\bold{\orange{3mn \times 4np = {(12m {n}^{2} p) }sq. units}}$

Some properties of Rectangle:

• A rectangle is a quadrilateral having 4sides &4 vertices
• The 2 diagonals bisect each other at acute and obtuse angle respectively.
• Sum of its interior angles makes 360°
• Opposite sides of rectangle are parallel and equal.

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$\bold{Perimeter \:of \:Rectangle=2(length+breadth)}$