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Area Model

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

MathematicsIn the visual model of a square with side (2x+3), what will be the total area of the two equal rectangles?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67HardMathematicsWhich of the following partitions is correct in a visual model of the identity \((a+b)^2\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsEach side of a square is \(a+b\). It is divided into four regions with areas \(a^2\), \(ab\), \(ab\), and \(b^2\). Which algebraic identity does this visual model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsWhich arrangement of regions must appear in an area model of the identity \((a+b)^2=a^2+2ab+b^2\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIn an area model, two strips of size \(a\times b\) are removed from a square of side \(a\), and their common \(b\times b\) region is added back once. Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIn an area model of a square with side \(a\), strips of width \(b\) are removed along two adjacent sides. The common \(b\times b\) corner is added once to correct for being removed twice. Which identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIf a square of side \(p+q\) is divided according to lengths \(p\) and \(q\), which parts must appear in the visual area model of \((p+q)^2\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsAn area model shows (16a^2+40ab+25b^2). It is the area of a square with which side?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsA square area model has side \(p+q\). It is divided into one square of area \(p^2\), one square of area \(q^2\), and two rectangles each of area \(pq\). Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIn a visual model of \(x^2-y^2\), a smaller square of area \(y^2\) is removed from a larger square of area \(x^2\), and the remaining parts are rearranged. What are the sides of the rectangle formed?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsWhich expansion shows the full area of a square with side (a+b+c)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIf the area model of \((3x+2)^2\) is drawn, what will be the total area of the (x)-term parts?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsAssume that \(x>y\). Which rectangle can directly represent \(x^2-y^2\) as an area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIn an area model, (x^2+6x) has to be made into a perfect square. What is the area of the small empty corner?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIn the area model of the algebraic identity \((a+b)^2=a^2+2ab+b^2\), how is the \(2ab\) part represented?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIn a model, a square of side (a+b+c) is divided into (3) parts in both directions. What is the total area related to (ab)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsA square model has total area (4x^2+12x+9). What is the side of the whole square?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsTo show (x^2-8x+16) as a perfect square in a visual model, a square of which side will be made?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIn an area model, the big square has side (x+5) and two squares of areas (x^2) and (25) are shown. What is the total area of the remaining two equal rectangles?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsWhich algebraic expression is best represented by an area model that divides a large square into four parts—two squares of different sizes and two congruent rectangles?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Medium