Answer:
A = 105 cm²
Step-by-step explanation:
The area (A) of the trapezoid is calculated as
A = [ (b₁ + b₂)h ]
where h is the height and b₁, b₂ the parallel bases
Here h = 5 , b₁ = 24 and b₂ = 18 , then
A = [ (24 + 18)5 ]
= (42 × 5)
= × 210
= 105 cm²
Given:
Area and altitude PS of ∆PQR are ar(∆PQR) = 180cm² and PS = 15.
To find:
The measure of side QR.
Solution:
According to the given information, PS is an altitude of ∆PQR. It means QR is the base of ∆PQR.
We know that, the area of a triangle is
Substituting the given values, we get
Divide both sides by 15.
Therefore, the measure of side QR is 24 cm.