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When both length and breadth of a rectangle are increased by (8) cm, the area increases by (1056) square cm. If the original length is (18) cm more than the breadth, what is the breadth?

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Answer and explanation

Correct answer: (54) cm

If breadth is (x) and length is (x+18), the increase is ((x+8)(x+26)-x(x+18)=1056). This gives (x=54).

Related tags

Quadratic EquationsRectangleArea Increase

Frequently asked questions

What is the correct answer to this question?

(54) cm

Why is this the correct answer?

If breadth is (x) and length is (x+18), the increase is ((x+8)(x+26)-x(x+18)=1056). This gives (x=54).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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