The total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.
<h3>What is rectangle?</h3>
It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that:
A rectangular swimming pool measures 7.5 m by 4.5 m.
It is completely surrounded by a fence parallel to each edge of the pool and at a distance of 3 m from each edge of the pool.
The total length of the fence = 2(7.5+3×2 + 4.5+3×2)
The total length of the fence = 2(7.5+6 + 4.5+6)
The total length of the fence = 2(24)
The total length of the fence = 48 m
Thus, the total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.
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3 square root of 5 or ≈ 6.70820393249937
Answer:
Area of trapezium = 4.4132 R²
Step-by-step explanation:
Given, MNPK is a trapezoid
MN = PK and ∠NMK = 65°
OT = R.
⇒ ∠PKM = 65° and also ∠MNP = ∠KPN = x (say).
Now, sum of interior angles in a quadrilateral of 4 sides = 360°.
⇒ x + x + 65° + 65° = 360°
⇒ x = 115°.
Here, NS is a tangent to the circle and ∠NSO = 90°
consider triangle NOS;
line joining O and N bisects the angle ∠MNP
⇒ ∠ONS = 
= 57.5°
Now, tan(57.5°) = 
⇒ 1.5697 = 
⇒ SN = 0.637 R
⇒ NP = 2×SN = 2× 0.637 R = 1.274 R
Now, draw a line parallel to ST from N to line MK
let the intersection point be Q.
⇒ NQ = 2R
Consider triangle NQM,
tan(∠NMQ) = 
⇒ tan65° =
⇒ QM = 
QM = 0.9326 R .
⇒ MT = MQ + QT
= 0.9326 R + 0.637 R (as QT = SN)
⇒ MT = 1.5696 R
⇒ MK = 2×MT = 2×1.5696 R = 3.1392 R
Now, area of trapezium is (sum of parallel sides/ 2)×(distance between them).
⇒ A = (
) × (ST)
= (
) × 2 R
= 4.4132 R²
⇒ Area of trapezium = 4.4132 R²
All you have to do is multiply the l * w = Area
When you look at 26 ft and 15 ft, 21 ft and 10 ft, 29 ft and 18 ft, you'd know it wouldn't work since it's over 180.
So the dimensions of the ceiling are l = 20 ft; w = 9 ft
