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3 years ago

This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for pi.

Mathematics

1 answer:

Ghella [55]3 years ago

5 0

The area of the given shape is 220.24 square cm.

Step-by-step explanation:

Step 1;

Area of given shape = Area of the rectangle + Area of the quarter circle.

The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.

The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.

Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.

200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.

Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.

So the quarter circle covers an area of 50.24 square cm.

Step 2;

Area of given shape = Area of the rectangle + Area of the quarter circle

Area of given shape = 170 + 50.24 = 220.24 square cm.

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A local hamburger shop sold a combined total of 649 hamburgers and cheeseburgers on Friday. There were 51 fewer cheeseburgers so

katrin2010 [14]

Answer: 350

Step-by-step explanation:

Let the cheeseburger be represented by a.

Since there were 51 fewer cheeseburgers sold than hamburgers. This means that hamburgers will be:

= a + 51.

Since the local hamburger shop sold a combined total of 649 hamburgers and cheeseburgers. This will be:

a + a + 51 = 649

2a + 51 = 649

2a = 649 - 51

2a = 598

a = 598/2

a = 299

299 cheeseburger were sold

Therefore, the number of hamburger sold will be:

= 649 - 299

= 350

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

An electric bulb is sold in a box measuring 5 cm by 4 cm by 4 cm. If the shopkeeper receives them in a carton measuring 50 cm by

katen-ka-za [31]

Answer:

250

Step-by-step explanation:

Bulb box and carton both are of cuboidal shape.

For bulb box the dimensions are:

l = 5 cm, w = 4 cm, h = 4 cm

$V_{Bulb\: box} =lwh$

$\implies V_{Bulb\: box} =5(4)(4)$

$\implies V_{Bulb\: box} =80\: cm^3$

For Carton the dimensions are:

l = 50 cm, w = 20 cm, h = 20 cm

$V_{Carton} =lwh$

$\implies V_{Carton} =50(20)(20)$

$\implies V_{Bulb\: box} =20,000\: cm^3$

To find the number of bulbs packed in the carton, divide the $V_{Carton}$ by $V_{Bulb\: box}$

$Number \:of \:bulbs =\frac{V_{Carton}}{V_{Bulb\: box}}$

$\implies Number \:of \:bulbs =\frac{20,000}{80}$

$\implies Number \:of \:bulbs = 250$

So, 250 bulbs will be packed in one carton.

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2 years ago