The area of trapezium is 352 cm2. The distance between the parallel sides is 16 cm. If one of the parallel sides is 25 cm. Find the other.

18cm

Step-by-step explanation:

Area of Trapezium = 1/2(a + b) h

Where:

A = 352cm^2

h = distance between parallel sides = 16cm

a = 25cm

b = ?

352 = 1/2 (25 + b) 16

352 = (25 + b) 8

352 = 200 + 8b

352 - 200 = 8b

152 = 8b

152/8 = b

19= b

→b = 19cm

The other parallel side is 19cm.

answer: sensy

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240