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lesya692 [45]
3 years ago
8

5. The area of the greatest square that is cut from a rectangle of sides

Mathematics
1 answer:
den301095 [7]3 years ago
3 0

Answer:

16 cm²

Step-by-step explanation:

The dimension of rectangle = 7cm by 4 cm

The Area of the greatest square that can be cut from the rectangle :

The dimension has to be the Same to form a square :

Hence, the greatest width = 4cm

Therefore, taking the length also as 4cm

Area of square = side length²

Greatest area of square that can be cut = 4² = 16cm²

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The area of a rectangle is 66 ft^2 and the length of the rectangle is 7 feet less than three times the width find the dimensions
Ber [7]
<h2>Length = 11</h2><h2>Width = 6</h2>

The area of a rectangle is 66 ft^2:

L * W = 66

Length of the rectangle is 7 feet less than three times the width:

L = 3W-7

Substitute L in terms of W:

(3W-7) * W = 66

Factorise the equation:

3W^2 -7W = 66

3W^2 - 7W - 66 = 0

Factors of 66 =

1 66, 2 33, 3 22, 6 11

(3W + 11) (W - 6) = 0

Solve for W:

3W + 11 = 0

3W = 11

W = 3/11

W - 6 = 0

W = 0 + 6

W = 6

Using the original equation, find L:

L = 3W-7

L = 3(6)-7

L = 18-7

L = 11

L * W = 66

11 * 6 = 66

4 0
3 years ago
Read 2 more answers
What is the sum of 6x3+8x2-2x+4 and 10x3+x2+11x+9
AleksAgata [21]

Answer:

16x³ + 9x² + 9x + 13

Step-by-step explanation:

Given

6x³ + 8x² - 2x + 4 and 10x³ + x² + 11x + 9

Sum the 2 expressions by adding like terms, that is

= (6x³ + 10x³) + (8x² + x²) + (- 2x + 11x) + (4 + 9)

= 16x³ + 9x² + 9x + 13

4 0
3 years ago
danielle did not complete 15 of her 200 assignments last year. Kim said that is 0.075 of her assignments and Kelly said it is 0.
Alona [7]

Answer:

Kim

is correct

Step-by-step explanation:

Here, we want to know who is correct between Kim and Danielle

From the question, what is not completed is 15 out of 200

To find what is not completed, we divide 15 by 200

Thus, we have;

15/200 = 0.075

This mean Kim is correct

3 0
2 years ago
Steven is researching prices on living room sofas in order to determine what a typical sofa costs. Which statement correctly exp
Hatshy [7]

Answer:

the answer is c because it can be either greatly increased or decreased

8 0
2 years ago
It takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download
netineya [11]

Answer:

49

Step-by-step explanation:

35/5=7

7x7=49 seconds

6 0
3 years ago
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