Question

Question 6 of 15

Answer 1

Answer:

$LE=5\ units$

Step-by-step explanation:

we know that

In a rectangle, the two diagonals are congruent and each diagonal bisects the other

so

$LN=2KE$ ----> equation A

$KE=LE$ -----> equation B

step 1

Find the value of x

solve equation A

$LN=2KE$

substitute the given values

$(2x+2)=2(3x-7)$

solve for x

$2x+2=6x-14\\6x-2x=2+14\\4x=16\\x=4$

step 2

Find the value of KE

$KE=3x-7$

substitute the value of x

$KE=3(4)-7=5\ units$

Remember that

$KE=LE$  -----> by each diagonal bisects the other

therefore

$LE=5\ units$