Question

1. Calculate the length of BE.
2. Work out the area of the larger rectangle.
3. Work out the width of the badge

Thank you!

Answer 1

Answer:

BE parallel to the CD

In ∆ ACD and ∆ ABE

angle a = angle a

angle b = angle c

so

∆ ACD ~∆ ABE

$\frac{ab}{ac} = \frac{be}{cd}$

$\frac{20}{25} = \frac{x}{18}$

$x = \frac{4 \times 18}{5}$

x =14.4 cm

all rectangle are similar

4/ 4.8 = 7/x

x =7×1.2

x = 8.4