SOLUTION: These lower and upper bases of an isosceles trapezoid are 10cm and 16cm, respectively. If the altitude of the trapezoid is 4cm, find the perimeter and area of the trapezoid

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Question 1196858: These lower and upper bases of an isosceles trapezoid are 10cm and 16cm, respectively. If the altitude of the trapezoid is 4cm, find the perimeter and area of the trapezoid
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

It was solved at this forum couple of days ago under this link

https://www.algebra.com/algebra/homework/Parallelograms/Parallelograms.faq.question.1196796.html



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!




given:
Longer base a=16cm
Shorter base b=10cm
height h=4cm

Perimeter=base1+base2+(2s), where s= the length of one of the non-parallel sides of the isosceles trapezoid.

first find s
s=sqrt%284%5E2%2B%28%2816-10%29%2F2%29%5E2%29=sqrt%2816%2B9%29=sqrt%2825%29=5cm

Perimeter is P=16cm%2Bcm%2B2%2A5cm=36cm

and area is:
A+=+%28%28+16cm%2B+10cm%29+%2A+4cm%29+%2F+2
A+=+26cm%2A+2cm
A=52cm%5E2