Question

In a rectangle AB = 30 cm , BC = x-y , CD = x+y and DA = 14 cm.Find the values of x and y.

Answer 1

Tip:

• In Euclidean plane math, a rectangle is a quadrilateral with four right points.
• It can likewise be characterized as an equiangular quadrilateral since equiangular implies that its points are all equivalent.

Explanation:

• Given that: A rectangle with the measures of sides is provided to us.

• We need to find the values of the variables x and y.

• By using the concept of geometry, we get the answer.

Step 1 of 2:

According to the problem,

The figure is given below:

Now, we know that,

The length and breadth of two sides of a rectangle are equal.

Step 2 of 2:

Considering the above conditions, we get,

$x+y=30........(i)$

$x-y=14.........(ii)$

Adding Equation $(i)$ and Equation $(ii)$, we get,

$2x=44\\\\x=\frac{44}{2} \\\\x=22$

Putting the value of $x$ in the equation $(i)$, we get,

$22+y=30\\\\y=30-22\\\\y=8$

Final Answer:

The values of x and y are $22$ and $8$.

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