Connect with a community that values knowledge and expertise on IDNLearn.com. Discover in-depth and reliable answers to all your questions from our knowledgeable community members who are always ready to assist.

2. The area of a trapezium is 1080
cm2. If the lengths of the parallel
sides are 55.6 cm and 34.4 cm,
then find the distance between
them.​


Sagot :

Answer:

Therefore, the distance (height) is 24cm.

Brainliest plzzzzz

Step-by-step explanation:

Area of trapezium = 1/2 × (a+b) × h

*a and b are the parallel lengths

Now we are going to find the distance, which is height (also known as 'h').

First, substitute the given values into the equation.

1080 = 1/2 × (55.6 + 34.4) × h

Move the 1/2 over to 1080 and divide.

1080 ÷ 1/2 = (55.6 + 34.4) × h

2160 = (55.6 + 34.4) × h

Add the numbers in the brackets.

2160 = 90 × h

Move 90 over to 2160 and divide.

2160 ÷ 90 = h

24 = h

Step-by-step explanation:

area = a+b/2×h

1080=55.6+34.4/2×h

1080×2=55.6+34.4h

2160=90h

h=2160/90

h=24