Question

The area of a square and a rectangle are equal. If the side of the square is 40 cm and breadth of the rectangle

is 25 cm, find the length of the rectangle. Also find the area and perimeter of the rectangle.​

Answer 1

area of square=area of rectangle

S×S=L×b

40×40=L×25

40×40/25=L

1600/25=L

64cm=L

Area of rectangle = L*b

64×25

= 1600cm²

perimeter of rectangle = 2(L+b)

2(64+25)

2×89

=178cm

Answer 2

Step-by-step explanation:

Given :-

• Area of square and rectangle are same.
• side of square is 40cm.
• breadth of rectangle is 25cm.

Required :-

• length of rectangle.
• area of rectangle.
• perimeter of rectangle.

Solution :-

area of square = area of rectangle

${a}^{2} = l \times b \\ \\ {40}^{2} = l \times 25 \\ \\ 1600 = l \times 25 \\ \\ l = 64$

Hence length of rectangle is 64cm.

area of rectangle =

$l \times b \\ \\ 25 \times 64 \\ \\ 1600$

Hence area of rectangle is 1600cm^2

perimeter of rectangle =

$2(l + b) \\ \\ 2(64 + 25) \\ \\ 114$

Hence perimeter of rectangle is 114

Answer :-

• Length of rectangle is 64cm
• Area of rectangle is 1600cm^2
• Perimeter of rectangle is 114cm

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