rectangle expansion se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
11 questions tagged with rectangle expansion.
A signed rectangle model is formed by (x+3) and (x-5). What will be the total area?
A. \(x^2-2x-15\)
भाग \(x^2\), (-5x), (3x) और (-15) हैं। परीक्षा में (-5x+3x=-2x) करें। / The parts are \(x^2\), (-5x), (3x), and (-15). In exams, combine (-5x+3x=-2x).
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A rectangle has sides (2x+1) and (x+5). What is the correct expansion of the area model?
B. \(2x^2+11x+5\)
भाग \(2x^2\), (10x), (x) और (5) हैं। परीक्षा में (10x+x=11x) करें। / The parts are \(2x^2\), (10x), (x), and (5). In exams, combine (10x+x=11x).
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In the rectangle model of ((x+1)(x+6)), what will be the total (x)-term?
B. (7x)
क्रॉस आयत (6x) और (x) हैं, जिनका योग (7x) है। परीक्षा में दोनों (x) आयत जोड़ें। / The cross rectangles are (6x) and (x), whose sum is (7x). Exam tip: add both (x) rectangles.
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Which expansion is given by the area model of a rectangle with dimensions (a+3) and (a+7)?
C. \(a^2+10a+21\)
चार भाग \(a^2\), (7a), (3a) और (21) हैं। परीक्षा में बाहरी संख्याओं का योग और गुणनफल देखें। / The four parts are \(a^2\), (7a), (3a), and (21). Exam tip: check the sum and product of the outside numbers.
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A. (10)
पट्टियों का कुल क्षेत्रफल (7x+3x=10x) है। परीक्षा में ((x+a)(x+b)) में मध्य गुणांक (a+b) लें। / The total strip area is (7x+3x=10x). Exam tip: in ((x+a)(x+b)), the middle coefficient is (a+b).
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In the rectangle model of ((2x+1)(3x+4)), what is the total area of the (x)-terms?
B. (11x)
\(2x\times4=8x\) और \(1\times3x=3x\), इसलिए कुल (11x) है। परीक्षा में क्रॉस आयतों को जोड़ें। / Here \(2x\times4=8x\) and \(1\times3x=3x\), so the total is (11x). Exam tip: add the cross rectangles.
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In the rectangle model of ((x+3)(x+8)), which is the correct group of four parts?
A. \(x^2\), (3x), (8x), (24)
आयत के भाग \(x\times x\), \(x\times8\), \(3\times x\) और \(3\times8\) से बनते हैं। परीक्षा में हर बाहरी भाग का गुणन करें। / The rectangle parts come from \(x\times x\), \(x\times8\), \(3\times x\), and \(3\times8\). Exam tip: multiply each outside part.
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A. \(x^2+9x+14\)
भाग \(x^2\) (2x) (7x) और (14) हैं इसलिए कुल \(x^2+9x+14\) है। परीक्षा में क्रॉस आयतों के क्षेत्रफल जोड़ें। / The parts are \(x^2\) (2x) (7x) and (14) so the total is \(x^2+9x+14\). Exam tip: add the cross rectangle areas.
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In a rectangle model, the sides are (3y+2) and (y+5). Choose the correct total area.
A. \( 3y^2+17y+10 \)
भाग \(3y^2\), (15y), (2y) और (10) हैं। परीक्षा में (15y+2y=17y) करें। / The parts are \(3y^2\), (15y), (2y) and (10). In exams, combine (15y+2y=17y).
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If parts are made in a rectangle model of (q+1) and (q+6), what is the simplified total area?
A. \( q^2+7q+6 \)
भाग \(q^2\), (q), (6q) और (6) मिलते हैं। परीक्षा में समान (q) पद जोड़ें। / The parts \(q^2\), (q), (6q) and (6) combine. In exams, add like (q) terms.
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If \((x+2)(x+3)\) is shown by a rectangle, what is the sum of its four parts?
C. \(x^2+5x+6\)
भाग \(x^2\), \(3x\), \(2x\) और \(6\) हैं। परीक्षा में \(3x+2x=5x\) जोड़ें। / The parts are \(x^2\), \(3x\), \(2x\), and \(6\). Exam tip: add \(3x+2x=5x\).
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