The linear scale factor of two similar shapes is in ratio 3:4. If the area of the smaller shape is 72cm square, find the area of
2 answers:
Answer:
128 cm²
Step-by-step explanation:
Given the scale factor of 2 similar figures is a : b , then
ratio of areas = a² : b²
Here the scale factor = 3 : 4 , thus
ratio of areas = 3² : 4² = 9 : 16
let x be the area of the larger figure then by proportion
=
( cross- multiply )
9x = 1152 ( divide both sides by 9 (
x = 128
Thus area of larger figure is 128 cm²
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Answer:
Solutions are (3,1) and (4,2)
Step-by-step explanation:
Graph is shown in the attached sheet
Given are two systems of equations and we have to solve them using graph
For graphing let us first prepare table for x and y.
1)
I line II line
x 0 4.5 3 x 0 2.5 3
y 3 0 1 y -5 0 1
The two lines intersect at (3,1)
Hence solution is (3,1)
--------------------------------------------
2)
I line II line
x 0 2 4 x 0 6 4
y 0 1 2 y 3 0 2
The two lines intersect at (4,2)
Hence solution is (4,2)
