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FrozenT [24]
3 years ago
6

Square A and rectangle B have the same width. The length of rectangle B is 4 cm greater than its width. The area of rectangle B

is 20 cm greater than the area of square A
Set up an equation and solve it to find the area of square A.

-Thanks! :D
Mathematics
1 answer:
andre [41]3 years ago
3 0
Noting that square A is a square, this is what we have:
A = B
A^2 = B x (B + 4) + 20

I can try subbing in A to B
since A = B:

A^2 = A x (A + 4) + 20
20 = A^2 - (A x (A + 4))
20 = A^2 - (A^2 + 4A)
20 = 4A
A = 5

By the way, A is width of square A and B is the width of rectangle B in my solution,
You might be interested in
. A garden measuring 12 m by 16 m is to have a pedestrian pathway that is ???????? meters wide installed all the way
Radda [10]

Answer:

1.5m

Step-by-step explanation:

Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.

The new area thus becomes:

(12+2x)(16+2x) = 285

24x + 32x + 192 + 4x^2 = 285

4x^2 + 56x + 192 = 285

4x^2 + 56x + 192 - 285 =0

4x^2 + 56x -93 = 0

4x^2 + 62x - 6x - 93 = 0

2x( 2x + 31) - 3(2x + 31) = 0

(2x - 3)(2x + 31) = 0

This means x = 3/2 or -31/2

Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters

4 0
3 years ago
Kite ABCD is reflected over the line y = x. What rule shows the input and output of the reflection, and what is the new coordina
Svetach [21]
The answer:

according to the image the coordinates of pre image are:

A(-7, 2), B(-5, 3) C(-2, 2) and D(-5, 1)

<span>Kite ABCD is reflected over the line y = x, the main rule to find the coordinates of the images is  (y, x)

for example if A(-7, 2) the image  A' is A'(2, -7)

the answer is </span><span>(x,y)→(y,x); A' is at (2, −7)</span>
4 0
3 years ago
Read 2 more answers
Need help solving for X
galina1969 [7]
X = 2 \sqrt{13}
7 0
3 years ago
135°<br> Solve for &lt;2.<br> 62 = [?]<br> 45°<br> &amp;2<br> 86°<br> Enter
andrey2020 [161]

Answer:

\displaystyle  \angle2     =  {49}^{ \circ}

Step-by-step explanation:

remember that,

<u>if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior </u><u>angles</u>

thus our equation is

\displaystyle  \angle2 +  {86}^{ \circ}  =  {135}^{ \circ}

cancel out 86° from both sides:

\displaystyle  \angle2     =  {49}^{ \circ}

hence,

the measure of the missing angle is 49°

6 0
3 years ago
Read 2 more answers
The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what per
vovangra [49]

Answer:

Percentage of armadillos between 13 and 17 years = 79.052%f using Standard Normal Distribution Tables

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu = 14, SD = 1.2 we have z(x) by using z(x) = (x - Mu)/SD as under:

Approach 1 using Standard Normal Distribution Table:

z for x=17: z(17) = (17-14)/1.2 gives us z(17) = 2.5

z for x=13: z(13) = (13-14)/1.2 gives us z(13) = -0.83

Afterwards using Normal Distribution Tables we find the probabilities as under:

P(17) using z(17) = 2.5 gives us P(17) = 99.379%

Similarly we have:

P(13) using z(13) = -0.83 gives us P(13) = 20.327%

Finally in order to find out the probability between 17 & 13 years we have:

Percentage of armadillos between 13 and 17 years = P(17) - P(13) = 99.379% - 20.327% = 79.052%

The standard normal distribution table is being attached for yours easiness.

Approach 2 using Excel or Google Sheets:

P(17) = norm.dist(17,14,1.2,1)

P(13) = norm.dist(13,14,1.2,1)

Percentage of armadillos between 13 and 17 years = { P(17) - P(13) } * 100

Download pdf
4 0
3 years ago
Read 2 more answers
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