krishamavani krishamavani
  • 01-01-2024
  • Mathematics
contestada

In Figure 1, ABCD is a rectangle with AB = 12 cm and BC= 7 cm. AK= BL= CM= DN = x cm. If the area of KLMN is 54 cm², find x.

In Figure 1 ABCD is a rectangle with AB 12 cm and BC 7 cm AK BL CM DN x cm If the area of KLMN is 54 cm find x class=

Respuesta :

georgepahno georgepahno
  • 01-01-2024

2(1/2)x(7 - x) + 2(1/2)x(12 - x) + 54 = 84

7x - x² + 12x - x² = 30

-2x² + 19x - 30 = 0

2x² - 19x + 30 = 0

(2x - 15)(x - 2) = 0

x = 2

Answer Link

Otras preguntas

help please asap!!!!!!!!!!!!!!!!!!!
How do you write 47300 in scientific notation
Why has the physical description of the hero changed throughout the years? A. To prove that authors can create original characters B. To allow for the advanceme
Who founded the National Grange?
What happen when a cell divides?
Which word in the sentence is a participle? Are you running from that buzzing bee? a. buzzing b. Are c. bee d. running
Which prophet and beliefs were tied to the Israelites? 1.David and the Epic of Gilgamesh 2. Abraham and the Epic of Gilgamesh 3. Moses and the Ten Commandment
Being rejected by a peer group can negatively influence one's self-esteem.
In which taxonomic phylum is ginkgo classified? a. Gnetophyta b. Cycadophyta c. Anthocerophyta d. Ginkgophyta
An astronomer would most likely study which of the following? A. ice B. rocks C. water D. space