The length of rectangle is 31 yards and width is 24 yards.
Step-by-step explanation:
Given,
Width of rectangle = w
Length of rectangle = w+7
Area of rectangle = 744 square yards
Area = Length * width
Factorizing the equation
Either,
w+31=0, =>w= -31
Or,
w-24=0 =>w=24
As width cannot be negative, therefore,
Width = 24 yards
Length = w+7 = 24+7 = 31 yards
The length of rectangle is 31 yards and width is 24 yards.
Keywords: area, rectangle
Learn more about rectangles at:
#LearnwithBrainly
Answer:
<u>Secant</u>: a straight line that intersects a circle at two points.
<u>Intersecting Secants Theorem</u>
If two secant segments are drawn to the circle from one exterior point, the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.
From inspection of the given diagram:
- M = Exterior point
- MK = secant segment and ML is its external part
- MS = secant segment and MN is its external part
Therefore:
⇒ ML · MK = MN · MS
Given:
- MK = (x + 15) + 6 = x + 21
- ML = 6
- MS = 7 + 11 = 18
- MN = 7
Substituting the given values into the formula and solving for x:
⇒ ML · MK = MN · MS
⇒ 6(x + 21) = 7 · 18
⇒ 6x + 126 = 126
⇒ 6x = 0
⇒ x = 0
Substituting the found value of x into the expression for KL:
⇒ KL = x + 15
⇒ KL = 0 + 15
⇒ KL = 15
If there were 4 pieces eaten, and 3/7 left, then there must have been 7 pices altogether and 3 are left.
