2 years ago

The length of a rectangle is

Mathematics

1 answer:

UkoKoshka [18]2 years ago

3 0

Answer:

5 meters

Step-by-step explanation:

We should derive an equation to solve this problem.

Let's assign x to width and y to length.

$2x-4=y$

and

$2x+2y=22$

$2x+2(2x-4)=22$

$2x+4x-8=22$

$6x-8=22$

$6x=30$

$x=5$

Width = 5 meters

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Hence, the values of x, y and z are as follows:

x=10

y=5

z=2

Further explanation:

When two triangles are congruent, then their respective sides will also be congruent or equal

As it is given that

ΔABC≅ΔDFE

Which means that

EF = BC

ED=AC

FD=AB

Now,

$EF=BC\\Putting\ the\ values\\x+15=2x+5\\x-2x=5-15\\-x=-10\\x=10\\AND\\FD=AB\\Putting\ the\ values\\4y=8y-20\\4y-8y=-20\\-4y=-20\\\frac{-4y}{-4}=\frac{-20}{-4}\\y=5\\AND\\ED=AC\\10z-5=3z+9\\10z-3z=9+5\\7z=14\\\frac{7z}{7}=\frac{14}{7}\\z=2$

Hence, the values of x, y and z are as follows:

x=10

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