The areas of a Square - Shaped tab and rectangle - Shaped tab are equal. The

The perimeter of the rectangular tab is 40 cm. What is the area-?

Class: Grade 9

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24cm2

36cm2

38cm2

28cm2

answer is B.

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Detailed Solution

Perimeter of the rectangular tab

2 \times (l + b)

2 \times (l + 40)

=40
Dividing Equation by 2 on both sides

\frac{2 \times (l + b)}{2}

\frac{40}{2}

         l+b=20
If length is 19cm Width us 1cm
Area of rechange = 19 x12
                            = 19cm2
length =18cm width = 2cm
Area of rechange = 18 x2
                           =36cm2
Length = 17cm width = 3 cm
Area of rechange = 17 x3
                              =51cm2
Length= 18cm width = 4cm
Area of rechange = 18 x4
                            =72cm2
Length= 16cm width = 5cm
Area of rechange = 16 x5
                            =80cm2
Length= 15cm width = 6cm
Area of rechange = 15 x6
                            =90cm2
  The area of square
Different integers value a, we get
12=1
62=36
22= 4
32=9
42 = 16
62=36
The area of square & rectangle
are equal

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