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Perfect Square

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsA square of side (m+n) is divided into four parts. Two parts have areas (m^2) and (n^2). What is the combined area of the remaining two equal rectangles?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68ExpertMathematicsFrom a large square of side (p), two strips of width (q) are removed from the top and the right. The corner square (q^2) is added back because it was removed twice. What is the remaining area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68ExpertMathematicsIn a square visual model, each side is divided into two parts, \(p\) and \(q\). The four regions have areas \(p^2\), \(pq\), \(pq\), and \(q^2\). Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsThe area of a square model is (x^2+14x+49). If the outer side is (x+k), what is (k)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsIf in the square model of ((x+a)^2), each rectangle has area (11x), what will the final small square be?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsIf the area of a square model is (25x^2-30xy+9y^2), what is its side?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsIn a square tile model, one \(x^2\) tile, two \(xy\) rectangular tiles, and one \(y^2\) tile together represent which algebraic identity?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsA tile model (p^2+18p+81) forms a perfect square. If the middle part is made of two equal rectangles, what is the area of each rectangle?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsA square model shows four parts (4x^2), (6xy), (6xy), and (9y^2). What will be the outer side?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68HardMathematicsA grid model has total area (x^2+2kx+k^2). When will it be a visual model of a perfect square?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67ExpertMathematicsIf area models of ( (x+2)(x+8) ) and ( (x+5)^2 ) are compared, which is larger and by how much?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67ExpertMathematicsIf (y^2-14y+49) is shown as a visual square model, what is the area of each removed strip?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67ExpertMathematicsIn a visual model, the large square is (16y^2) and the small added square is (25). If two strips are subtracted, which area is correct?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67ExpertMathematicsA model shows m² + 18m + 81 as a square. Which expression represents the side of this square?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67MediumMathematicsWhich model first changes (x^2-4xy+4y^2-z^2) into a smaller square and then into a difference?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66ExpertMathematicsIf the total area of a square model is (x^2+14xy+49y^2), what is the area of each equal rectangle?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66ExpertMathematicsWhich visual model can prove (49a^2-70ab+25b^2) as a perfect square?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66ExpertMathematicsIn the area model of a square with side (x+k), the middle term is (18x) and the corner is (81). What is (k)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66ExpertMathematicsIn a cut-and-paste model, (x^2-14x+49) is changed into a smaller square. What is the side of the new square?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66ExpertMathematicsIn a square tile model, one \(x^2\) square, two \(xy\) rectangles, and one \(y^2\) square combine to form a larger square. Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Expert