The length of a rectangular building is 6 feet less than 3 times the width. The perimeter is 120 fee

Discussion in 'Calculator Requests' started by math_celebrity, Sep 11, 2016.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The length of a rectangular building is 6 feet less than 3 times the width. The perimeter is 120 feet. Find the width and length of the building.

    P = 2l + 2w
    Since P = 120, we have:
    (1) 2l + 2w = 120

    We are also given:
    (2) l = 3w - 6

    Substitute equation (2) into equation (1)
    2(3w - 6) + 2w = 120

    Multiply through:
    6w - 12 + 2w = 120

    Combine like terms:
    8w - 12 = 120

    Add 12 to each side:
    8w = 132

    Divide each side by 8 to isolate w:
    w =16.5

    Now substitute w into equation (2)
    l = 3(16.5) - 6
    l = 49.5 - 6
    l = 43.5

    So (l, w) = (43.5, 16.5)

Share This Page

Related pages

math solver factoringequations and inequalities calculatortabulated value of chi squaresimplify square root of 108multi step equation calculator with fractionsfinding all zeros of a polynomial function calculatorhow many hearts are in a deck of 52 cardssubstitution math solverpoint estimate of population mean calculatorpentagon calculatoranikethsolve multi step equations calculatorcos sin tan calculatorhow to find the antilog on a calculatormean median mode midrange calculatorsubset calculatorlever formulasradius and diameter calculatorsubtracting monomials calculatorgrams microgramslogarithm to exponential form calculatorliters to ouncesestimating fractions calculatoradwords test exammultiplying radicals calculatorsubtracting basesmoney multipiersolve rational exponents calculatorexponent on calculatorvariable equation calculatorsolving inequalities with fractions calculatorsimplifying fractions with square rootsaverage math sat scorepunnett squares calculatorcents per kilometercalculating sides of a trianglephysics kinematics formulasparabola equation generatorcos40probability poker calculatorcompound inequalities calculatorprime factorization of 425multiplying two binomialsinflation calcscientific notation on a calculatorfractions calculator simplifyreflexive property in mathsolving literal equations for a variablecosine 60 degree anglechebyshev rule statisticsconvert 2 gallons to pintssolving radical expressions calculatorcompound interest table calculatorsolutions to equations calculatorpoints for cribbagegraph quadratic equation calculatortrigonometry calculate angledeclining balance method calculatormath solver calculusdouble dice rollertrigonometry on a calculatorpints to gallons calculatormultiplying fractions with exponents and variables calculatorsimplified radical form calculator with variablesfind equation of hyperbola given foci and asymptotewhat is the set builder notationbernoulli trials probabilityorder numbers from least to greatest calculatorpolynomial standard form calculatorcomparing fractions calculatortrigonometry calculatergraphing inequalities calculator online