Given that the length of side of shaded area is 1 ft.
Making equal square of size of shaded area we have:
Horizontally number of shaded area are 12
Vertically number of shaded area are 11
So, the horizontal length of big rectangle is 12 ft.
The vertical length of big rectangle is 11 ft.
Area of big rectangle is 12*11
Area of given rectangle is 132 sq.ft.
A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.
In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.
Now In ΔAKE and ΔCKP,
∠A ≅ ∠C {Proved above}
∠AKE ≅ ∠CKP {Given}
AK ≅ KC {Given }
Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.
Hence, ΔAKE and ΔCKP are congruent.
Learn more about Triangle:
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Given:
To find:
The length of QR.
Solution:
We have,
Then, 
(CPCTC)
Divide both sides by 4.
Similarity,
(CPCTC)
Divide both sides by 2.
Now,
Therefore, the correct option is d.
