We are given the equation $A = \frac{1}{2}bh$ and asked to solve for $b$ in terms of $A$ and $h$.

AlgebraEquation SolvingFormula ManipulationArea of a Triangle
2025/4/4

1. Problem Description

We are given the equation A=12bhA = \frac{1}{2}bh and asked to solve for bb in terms of AA and hh.

2. Solution Steps

We want to isolate bb on one side of the equation.
First, multiply both sides of the equation by 2:
2A=212bh2 * A = 2 * \frac{1}{2}bh
2A=bh2A = bh
Next, divide both sides of the equation by hh:
2Ah=bhh\frac{2A}{h} = \frac{bh}{h}
2Ah=b\frac{2A}{h} = b
Therefore, b=2Ahb = \frac{2A}{h}.

3. Final Answer

b=2Ahb = \frac{2A}{h}

Related problems in "Algebra"

Given that $(x+2)$ and $(2x+3)$ are factors of $f(x) = 6x^3 + px^2 + 4x - q$, we need to find the va...

PolynomialsFactor TheoremPolynomial DivisionRoots of PolynomialsCubic EquationsSystems of Equations
2025/4/13

The problem describes an arithmetic progression (AP) of houses built each year starting from 2001. W...

Arithmetic ProgressionSequences and SeriesWord Problems
2025/4/13

The problem consists of three questions: 1. (a) Calculate the amount Mr. Solo paid for a home theatr...

PercentageBase ConversionFormula ManipulationSquare RootsSignificant Figures
2025/4/13

(a) Find the coefficient of $x^4y^2$ in the binomial expansion of $(2x+y)^6$. (b) Find the fifth ter...

Binomial TheoremPolynomial ExpansionCombinationsCoefficients
2025/4/13

The problem defines a sequence $(U_n)_{n \in \mathbb{N}}$ by $U_0 = 1$ and $U_{n+1} = \frac{2U_n}{U_...

SequencesSeriesArithmetic SequenceRecurrence RelationSummation
2025/4/13

The problem requires us to find the first four terms of the binomial expansion of $\sqrt[3]{1+x}$ an...

Binomial TheoremSeries ExpansionApproximationCube Roots
2025/4/13

We need to solve the equation $40 - x + x + 312 - x = 400$ for $x$.

Linear EquationsSolving EquationsSimplification
2025/4/12

The problem is to solve the equation $x + 2 - 13 = 11$ for the variable $x$.

Linear EquationsSolving EquationsVariables
2025/4/12

The problem states: "9 is 20% of what number?". This can be written as an equation where we are solv...

PercentagesEquationsSolving Equations
2025/4/12

The problem requires us to multiply monomials in several expressions. The given expressions are: 1. ...

MonomialsExponentsSimplification
2025/4/11