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Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
=
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
Step 1. Add 72 to both sides
5y = 7 + 5x + 72
Step 2. Simplify 7 + 5x + 72 to 5x + 79
5y = 5x + 79
Step 3. Divide both sides by 5
y = 5x + 79/5
Answer:
Area= 15,414.0127
Step-by-step explanation:
See picture attached