Answer:
17.6 m²
Step-by-step explanation:
Given the ratio of similar shapes = a : b, then
area of shapes = a ² : b²
Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is
PT : PR = 6 : 9 = 2 : 3, thus
ratio of areas = 2² : 3² = 4 : 9
let the area of Δ PQT be x, then using proportion
=
( cross- multiply )
9x = 4(x + 22) ← distribute
9x = 4x + 88 ( subtract 4x from both sides )
5x = 88 ( divide both sides by 5 )
x = 17.6
Thus area of Δ PQT = 17.6 m²
Each person would get pizza.
Solution:
Total quantity of pizza =
Number of persons shared = 3
To find how much pizza would each person get:
Let us first convert improper fraction into mixed fraction.
Now divide the total quantity of pizza by the number persons shared.
Divide both numerator and denominator by 3.
Quantity of pizza each person get =
Hence each person would get pizza.