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2 years ago

The image shows the dimensions of a pool.

Mathematics

1 answer:

Juliette [100K]2 years ago

8 0

<h3>Answer: D) 198 square meters</h3>

======================================================

Explanation:

Extend the side that's 9.5 meters long out to the left so that you form a trapezoid on top and a rectangle underneath. The side we extended is now 5+9.5 = 14.5 meters long.

Let

A = area of the trapezoid up top
B = area of the rectangle underneath

The goal is to find A+B

The trapezoid has the parallel sides of 14.5 and 10 meters. The height of the trapezoid is 28-20 = 8 meters. So we can say

Area of trapezoid = height*(base1+base2)/2

A = h*(b1+b2)/2

A = 8*(14.5+10)/2

A = 98

The rectangle has area of B = length*width = 5*20 = 100 square meters

Therefore,

total area = A+B = 98+100 = 198 square meters.

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2 years ago

At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawals, each in the same amount.

lozanna [386]

Answer:

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y = 17.50

Step-by-step explanation:

x = Amount of one Derek withdrawal

then amount of John withdrawal =x+5

Total withdrawals of Derek = no of times x one time withdrawal

= 7(x) = 7x ... i

No of John withdrawal = no of times x one time withdrawal

= 5(x+5) ... ii

Given that i and ii are equal

i.e. 7x =5(x+5)

7x = 5x+25

2x =25

x = 12.50 dollars

Y = 17.50 dollars

Checking part:

total derek withdrawal = 7(12.5) =87.50

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Since both are equal, our answers are right.

Solution: Derek withdrew each time 12.50 dollars each for 7 times and John withdrew 17.50 dollars each for 5 times.

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