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JulsSmile [24]
4 years ago
6

A rectangle has an area of 120 square cm. Its length and width are whole numbers. List the possible dimensions of the rectangle.

Which possibility gives the smallest perimeter?
Mathematics
1 answer:
Nadusha1986 [10]4 years ago
7 0

Answer: kindly check explanation

Step-by-step explanation:

Given that:

Area of rectangle = 120 cm²

Assume ; Length and width are whole numbers

Possible dimension of the rectangle will be :

Area of a rectangle = Length × width

Area = 120cm²

Possible dimensions :

80cm by 1 cm

40cm by 2cm

20cm by 4cm

10cm by 8cm

5cm by 16cm

Possibility which gives the smallest perimeter :

Dimension = 10cm by 8cm

Perimeter of Rectangle = 2(length + width)

Perimeter of Rectangle :

= 2(10 + 8)cm

= 2(18)cm

= 36cm

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Answer:

Investment with interest rate 0.1872 is better

Step-by-step explanation:

Given as :

George investment principal = $20,000

The Rate of interest  (R1)   = 18 \frac{2}{3} % = \frac{56}{3} %

I.e   R1 = 18.67 %

Again The The Rate of interest  (R2)  = 0.1872  = 18.72 %

Let the time period for both rate of interest = 1 years

Now from compound interest method

Amount = Principal × (1 + \frac{Rate}{100})^{Time}

Or,    A 1 = $ 20 , 000 × (1 + \frac{18.67}{100})^{1}

Or,    A 1 = $ 20 ,000 × 1.1867

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And   A 2 = $ 20 , 000 × (1 + \frac{18.72}{100})^{1}

Or,     A 2 = $ 20 ,000 × 1.1872

∴        A 2 = $ 23,744

Hence From the calculation of both amount it is clear that , investment with interest rate 0.1872 is better . Answer

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