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Lostsunrise [7]
3 years ago
10

A rectangle is removed from the middle of a larger rectangular shaped board. What is the area of the remaining board?

Mathematics
1 answer:
jeyben [28]3 years ago
8 0

Answer:

The area of the remaining board is [(L × B) - (l × b)].

Step-by-step explanation:

Suppose the bigger rectangle is labelled as ABCD and the smaller rectangle is labelled as PQRS.

Consider that the length and breadth of the bigger rectangle are L and B respectively. And the length and breadth of the bigger rectangle are l and b respectively.

The area of any rectangle is:

Area = Length × Breadth

The area of the bigger rectangle is:

Area of ABCD = L × B

The area of the smaller rectangle is:

Area of PQRS = l × b

Then the area of the remaining board will be:

Area of remaining board = Area of ABCD - Area of PQRS

                                         = (L × B) - (l × b)

Thus, the area of the remaining board is [(L × B) - (l × b)].

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Daca adun sfertul lui a cu jumatatea lui b si cu treimea lui c, obtin 120. Stiind ca jumatatea lui b este cu 24 mai mare decat s
schepotkina [342]

Answer:

Step-by-step explanation:

Dacă adaug un sfert de la jumătate de b și o treime de c, obțin 120.

Aceasta se exprimă ca:

1 / 4a + 1/2 b + 1 / 3c = 120 ..... Ecuația 1

Știind că jumătate din b este de 24 de ori mai mare decât un sfert de a

1 / 2b = (1/4 × a) 24

b / 2 = (a / 4) 24

b / 2 = 6a

Cross Multiply

b = 6a × 2

b = 12a

a = b / 12

Jumătate din b este de 4 ori mai mare decât o treime din c

1/2 × b = 4 × (1/3 × c)

b / 2 = 4 (c / 3)

b / 2 = 4c / 3

Cross Multiply

b = 2 × 4c / 3

b = 8c / 3

8c = 3b

c = 3b/8

1 / 4a + 1/2 b + 1 / 3c = 120 ..... Ecuația 1

Înlocuim

1/4 × b / 12 + 1 / 2b + 1/3 × 3b / 8= 120

b / 48 + b / 2 + b/8 = 120

Înmulțiți cu 48

b/48 × 48 + b/2 × 48 + b/8× 48 = 120 × 48

b + 24b + 6b = 5760

31b = 5760

6 0
3 years ago
Which expression is equivalent to the problem shown?
enyata [817]
B
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3 0
3 years ago
If a rectangle is (x+2) wide and (x-7) in length, the area of the rectangle is? ​
Maru [420]

Answer: x² - 5x - 14

Step-by-step explanation: Start with the formula for the area of a rectangle.

Area = length x width

To multiply these two binomials, let's use the F.O.I.L. method.

The product of the first terms is x².

The product of the outer terms is -7x.

The product of the inner terms is 2x.

The product of the last terms is -14.

So we have x² - 7x + 2x - 14 which simplifies to x² - 5x - 14.

3 0
3 years ago
Who can solve this? Ima give brainliest to the best answer
Lana71 [14]

Answer:

32 possible outcomes

Step-by-step explanation:

one coin has 2 possible outcomes, heads or tails, as do each of the others coins. So the number of outcomes is 2^5=32

(1) HTTTT

(2)THTTT

(3)TTHTT

(4)TTTHT

(5)TTTTH

4 0
3 years ago
Which is greater -64 and -35
tekilochka [14]
-35 is greater because they are both negative, the number CLOSEST to 0 is greater
6 0
3 years ago
Read 2 more answers
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