Respuesta :
Answer:
Step-by-step explanation:
The formula for determining the area of a trapezoid is expressed as
Area = 1/2(a + b)h
Where
a and b are the length of the 2 parallel sides or bases of the trapezoid. Since it is an isosceles trapezoid, then the length of the 2 legs are equal.
h represents the height of the trapezoid.
From the information given,
Area = 45cm²
h = 5 cm
45 = 1/2(a + b)5
2 × 45 = 5(a + b)
90 = 5(a + b)
a + b = 90/5 = 18
if one of the legs is 2/3 of the sum of the bases, it means that the height of each leg is
2/3 × 18 = 12 cm
The length of both legs is
12 × 2 = 24 cm
The perimeter of the trapezoid is
Sum of bases + sum of legs
Therefore,
Perimeter = 18 + 24 = 42 cm
The perimeter of the isosceles trapezoid is 42cm,
What is the perimeter of the isosceles trapezoid?
A trapezoid is a convex quadrilateral with at at least one pair of parallel sides.
Area of a trapezoid = 0.5 x (sum of the lengths of the parallel sides) x height
Sum of bases = (area x 2) / height
(2 x 45) / 5 = 18
Perimeter = sum of lengths of sides of a trapezoid
Length of one of the legs = 2/3 x 18 = 12
Length of both legs = 12 x 2 = 24
Perimeter = 24 + 18 = 42cm
To learn more about trapezoids, please check: https://brainly.com/question/25748893
