<span>Length = l</span>
<span>
Width = w</span>
<span>
Perimeter = p = 100
</span>
<span>Perimeter of rectangle = 2(l+w)</span>
<span>
100 = 2 (4w + w)</span>
<span>
100 = 2(5w)</span>
<span>
100 = 10w</span>
<span>
100/10 = w</span>
<span>
10 = w</span>
<span>
w = 10
Area of rectangle = length * width</span>
<span>
a = l*w</span>
<span>
a = 4w*w</span>
<span>
a = 4w^2............(1)</span>
<span>
Put the value of w in (1)</span>
<span>
a = 4(10)^2</span>
<span>
a= 4(100)</span>
<span>
a = 400 yd^2</span>
Answer:

Step-by-step explanation:
Use the Pyhagorean theorem:

We have

Substitute:

<em>subtract 49 from both sides</em>

The perimeter of any figure, is all its sides summed up
now, notice the picture below, using the 30-60-90 rule, that's "x"
now, get the other sides, since you know what "x" is, and sum them up, that's the perimeter
Answer:
Jeff went over by 53.33 grams or
grams.
Step-by-step explanation:
Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.
Jeff knows that 1 cup of that particular vanilla powder has a mass of 128 grams.
He added
of a cup of vanilla powder to the flour.
So, he added a mass of
grams of vanilla.
As the recipe says, it needs 32 grams of vanilla so Jeff went over by
grams.
Jeff went over by 53.33 grams or
grams.