equal-squares-as-large-as-possible-are-drawn-on-a-rectangular-ceiling-board-measuring-54cm-by-78cm-find-a-The-size-of-the-squares-b-The-total-number-of-squares-

Question Number 33043 by mondodotto@gmail.com last updated on 09/Apr/18

$$\:\boldsymbol{\mathrm{equal}}\:\boldsymbol{\mathrm{squares}}\:\boldsymbol{\mathrm{as}}\:\boldsymbol{\mathrm{large}}\:\boldsymbol{\mathrm{as}}\:\boldsymbol{\mathrm{possible}} \\ $$$$\:\boldsymbol{\mathrm{are}}\:\boldsymbol{\mathrm{drawn}}\:\boldsymbol{\mathrm{on}}\:\boldsymbol{\mathrm{a}}\:\boldsymbol{\mathrm{rectangular}}\:\boldsymbol{\mathrm{ceiling}}\:\boldsymbol{\mathrm{board}} \\ $$$$\:\boldsymbol{\mathrm{measuring}}\:\mathrm{54}\boldsymbol{\mathrm{cm}}\:\boldsymbol{\mathrm{by}}\:\mathrm{78}\boldsymbol{\mathrm{cm}},\boldsymbol{\mathrm{find}} \\ $$$$\:\left(\boldsymbol{\mathrm{a}}\right)\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{size}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{squares}} \\ $$$$\:\left(\boldsymbol{\mathrm{b}}\right)\boldsymbol{\mathrm{The}}\:\boldsymbol{\mathrm{total}}\:\boldsymbol{\mathrm{number}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{squares}} \\ $$

Answered by math1967 last updated on 09/Apr/18

$${Size}\:{of}\:{squares}={H}.{C}.{F}\:{of}\:\mathrm{54}\:{and}\:\mathrm{78} \\ $$$$=\mathrm{6}{cm} \\ $$$${No}\:{of}\:{squares}=\frac{\mathrm{54}×\mathrm{78}}{\mathrm{6}×\mathrm{6}}=\mathrm{117} \\ $$

Commented by mondodotto@gmail.com last updated on 09/Apr/18

$$\mathrm{oohh}!\:\mathrm{thanx} \\ $$

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