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3 years ago

The length of a rectangle is 12 cm more than its width. Find the

Mathematics

1 answer:

just olya [345]3 years ago

5 0

Dimensions of the rectangle (width and length) are 19 cm and 31 cm respectively.

Step-by-step explanation:

Step 1: Given that the perimeter = 100 cm, let width be x cm and then length = 12 + x.

Perimeter of a rectangle = 2(length + width)

100 = 2(x + 12 + x)

100 = 4x + 24

4x = 100 - 24 = 76

∴ x = 76/4 = 19 cm

∴ Length = 19 + 12 = 31 cm

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Yuri [45]

Answer:

1) 378.1 in²

2) 8.4 m²

Step-by-step explanation:

Area of sector= $\frac{θ°}{360°} \times \pi {r}^{2}$

1) Area of sector

$= \frac{150°}{360°} \times 3.14 \times {17}^{2} \\ = 378.1 \: in^{2} \\ (nearest \: tenth)$

2) Area of sector

$\frac{60°}{360°} \times 3.14 \times {4}^{2} \\ = 8.4 \: m^{2} \\ (nearest \: tenth)$

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2 years ago

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2 years ago

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Answer:

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Step-by-step explanation:

7 0

3 years ago

I need help with 5 1\2× 3 1\4 =?

sattari [20]

5 1/2 * 3 1/4

1 + 5 . 2/2 * 1 + 3 . 4/4 = 11/2 * 13/4 = 11 . 13/2 . 4 = 143/8 = 7 + 17 . 8/8 = 17 7/8

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Detailed explanation of solution:

5 1/2 * 3 1/4

Transform the first mix number to improper fraction:

5 1/2 = 1 + 5 . 2/2 = 11/2

Transform the second mix number to improper fraction:

3 1/4 = 1 + 3. 4/4 = 13/4

Multiplying two fractions:

11/2 * 13/4 = 11 . 13/2 . 4 = 143/8

Since the numerator is greater than the denominator, We convert the improper fraction to mix fraction:

143/8 = 7 + 17.8/8

= 17 7/8 (Decimal: 17. 875)

Hope that helps!!!!!! ( Answer: 17 7/8, (Decimal: 17.875)

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Step-by-step explanation:

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