A trapezoid has an area of 36 sq. m...

[McquayA.]

A trapezoid has an area of 36 sq. m and an altitude of 2m. Its two bases have a ratio of 4:5. Find the perimeter of the trapezoid. Find the percentage increase in the volume if its edge is increased by 1%

 

[Deleted member 4993]

A trapezoid has an area of 36 sq. m and an altitude of 2m. Its two bases have a ratio of 4:5. Find the perimeter of the trapezoid. Find the percentage increase in the volume if its edge is increased by 1%

What is the equation for the area of a trapezoid?

Please share your thoughts and work for this problem!

 

[pka]

A trapezoid has an area of 36 sq. m and an altitude of 2m. Its two bases have a ratio of 4:5. Find the perimeter of the trapezoid. Find the percentage increase in the volume if its edge is increased by 1%

The area of any trapezoid is one half the sum of the lengths of the two bases times the height.

 

[Dr.Peterson]

A trapezoid has an area of 36 sq. m and an altitude of 2m. Its two bases have a ratio of 4:5. Find the perimeter of the trapezoid. Find the percentage increase in the volume if its edge is increased by 1%

In order to find the perimeter of the trapezoid, we would need more information. Are we to assume it's an isosceles trapezoid, for example? or a right-angled trapezoid?

To answer the last question, we need to know what "edge" refers to. Does it mean that every edge is increased by 1%? If so, then this is a problem in the areas of similar figures. (Do you see why?)

 

[Deleted member 4993]

A trapezoid has an area of 36 sq. m and an altitude of 2m. Its two bases have a ratio of 4:5. Find the perimeter of the trapezoid. Find the percentage increase in the volume if its edge is increased by 1%

Please review your post and make sure it is correct!!

 

[The Highlander]

The area of any trapezoid is one half the sum of the lengths of the two bases times the height.

Isn't that what Subhotosh was asking the OP to discover for him/herself?
This is another area where the the UK & the US are two countries separated by a common language, lol, (Trapezoid vs Trapezium) but, even ignoring that 'disagreement', I'm at a loss to see how the figure's "volume" comes into it!