Answer:
a=7.2*1.5=10.8 cm
b=6.3/1.5=4.2 cm
Step-by-step explanation:
<u>Proportional Geometric Shapes </u>
A) We are given two similar shapes of a logo. They are to be proportional. We only need to find the proportion ratio of two of them to find the rest of the lengths.
The upper sides have 7.5 cm and 5 cm respectively. This gives us the ratio
Which means all the measures of the smaller logo are 1.5 smaller than those of the larger. This means
b=6.3/1.5=4.2 cm
a=7.2*1.5=10.8 cm
B) To paint the logos, we need to cover its surface, so the ratio of the surface is 1.5*1.5=2.25
This means the cost to paint the larger logo is
Answer:
5 units
Step-by-step explanation:
Let point O be the point of intersection of the kite diagonals.
|OF| = 2, |OH| = 5
|FH| = |OF| + |OH| = 2 + 5 = 7
FH and EG are the diagonals of the kite. Hence the area of thee kite is:
Area of kite EFGH = (FH * EG) / 2
Substituting:
35 = (7 * |EG|) / 2
|EG| * 7 = 70
|EG| = 10 units
The longer diagonal of a kite bisects the shorter one, therefore |GO| = |EO| = 10 / 2 = 5 units
x = |GO| = |EO| = 5 units
