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Dominik [7]
2 years ago
9

VXYZ is a rectangle with a length of 20cm and a width of 12 cm. The length of the rectangle is increased by 30%. The width of th

e rectangle is increased by 10%. Find the percentage increase in the area of the rectangle
Mathematics
1 answer:
katrin [286]2 years ago
8 0

Step-by-step explanation:

the area is

length × width

increasing the length by 30% means multiplying the original length by 1.3.

increasing the width by 10% means multiplying the original width by 1.1.

so, the new area is (by using the old length and width)

length × 1.3 × width × 1.1 = length × width × 1.3×1.1 =

= old area × 1.3 × 1.1 = old area × 1.43

so, the area increases by 43%.

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3 years ago
5000 people attend 1 movie each in one week. Regular show ticket is $9.50 and matinee tickets are $7. The total amount spent was
yuradex [85]

Answer:

1400

Step-by-step explanation:

Given: Cost of Regular ticket = $9.50

          Cost of Matinee tickets= $7

          Total number of people= 5000

          Total spending in watching movie= $44000.

Lets assume total number of people attended matinee be "x".

∴ Number of people attended Regualr show= (5000-x)

We know, total cost= Price\ of\ each\ ticket \times number\ of\ people

Now, forming an equation to show total spending on tickets.

⇒ \$ 9.50(5000-x)+ \$ 7x= \$ 44000

Using distributive property of multiplication to multiply 9.50 with 5000 and -x.

⇒ 47500-9.50x+7x= 44000

⇒ 47500-2.5x= 44000

Adding both side by 2.5x

⇒ 47500 = 44000 + 2.5x

subtracting both side by 44000

⇒ 3500= 2.5x

Dividing both side by 2.5

⇒x= \frac{3500}{2.5}

∴x= 1400

Hence, number of people attended the matinee show are 1400.

7 0
3 years ago
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