The perimeter of kite LMNO is 36 feet. Side MN = 8x – 3 and side NO = 2x + 1. Find the value of x.
2 answers:
Answer: x = 2
Step-by-step explanation:
The diagram of the kite is shown in the attached photo.
The perimeter of the kite is the distance around the kite.
The kite has 2 pairs of equal sides.
This means that
Side ML = side MN and side NO =
side LO
If Side MN = 8x – 3 and side NO = 2x + 1, then The perimeter of the kite is ML + MN + NO + LO
The perimeter of kite LMNO is given as 36 feet.
Therefore
ML + MN + NO + LO = 36
8x – 3 + 2x + 1 +8x – 3 + 2x + 1 = 36
8x + 8x + 2x+ 2x -3 +1 - 3 + 1
20x -4 = 36
20x = 40
x = 40/20 = 2
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Answer:
x = 6 cm
Step-by-step explanation:
Given ratio of sides of similar figures = a : b , then
ratio of areas = a² : b²
Here ratio of areas = 5 : 45 = 1 : 9 , so
ratio of sides = :
= 1 : 3
Thus side of B is 3 times side of A
x = 3 × 2 = 6 cm