The length of a side is only the positive square root because length cannot be _______

The length of a rectangle is twice its width. Given the length of the diagonal is $5\sqrt{5}$, find the area of the rectangle.

lianna [129]

Answer: Area of rectangle is 50 square units.

Step-by-step explanation:

Since we have given that

Diagonal of the rectangle = 5√5

Let the width of rectangle be 'x'

Let the length of rectangle be '2x'

As we know the formula for diagonal of rectangle:

$5\sqrt{5}=\sqrt{l^2+w^2}\\\\(5\sqrt{5}})^2=(2x)^2+x^2\\\\125=4x^2+x62\\\\125=5x^2\\\\\dfrac{125}{5}=x^2\\\\25=x^2\\\\x=\sqrt{25}\\\\x=5\ units$

So, Length of rectangle be 2x=2×5=10 units

And the area of the rectangle is given by

$Area=Length\times width\\\\Area=10\times 5\\\\Area=50\ sq.\ unit$

Hence, area of rectangle is 50 square units.

5 0

3 years ago

The Voyager 2 space probe took 2 years to make its closest approach to Jupiter. How many months did it take Voyager 2 to reach J

Tom [10]

It would be 24 months

7 0

3 years ago

Read 2 more answers

Can someone please help meeeee :((<br>what's the rule?

Elena L [17]

I think the rule has something to do with adding. I noticed that when the input was at 0 the output was 20, When the input was 15 the output was 5, when the input was 8 the output was 12, and so on. I think the rule is, no matter what number is in the input or the output, it must equal 20.
Hope This Helps!

7 0

3 years ago

Simplify 2x(-11x - 7)

LekaFEV [45]

The answer will be -22x^2-14x. Hope it help!

7 0

3 years ago

Read 2 more answers

Wendy is creating a large soup based on a recipe. Her recipe calls for of a pint of milk, but she only has of a pint of milk, so

xeze [42]

Answer:

She can only make 5/6 of her recipe with the amount of milk that she has.

Step-by-step explanation:

Some data of this problem is missing, the data missing is:

Her recipe calls for 3/4 of a pint of milk and she only has 5/8 of a pint of milk.

Now, to know what's the portion she can do with that amount we need to divide the amount of milk she has by the total amount she needs:

$\frac{5}{8}$ ÷ $\frac{3}{4}$

When we divide we turn the second fraction upside down (the numerator becomes the denominator and viceversa) and multiply, thus:

$\frac{5}{8}$ ÷ $\frac{3}{4}=\frac{5}{8}$ × $\frac{4}{3} =\frac{20}{24}$

If we simplify this last expression we have:

$\frac{20}{24}=\frac{10}{12} =\frac{5}{6}$

Thus, she can only make 5/6 of her recipe with the amount of milk that she has.

<em>Note: In case the data missing is different, you can apply this same procedure with the fractions you have. </em>

6 0

4 years ago

The length of a side is only the positive square root because length cannot be ________.