Draw a model representing the area of a rectangle with dimensions (3x − 4) by (x − 1). Find the area of the…

Question

Draw a model representing the area of a rectangle with dimensions (3x − 4) by (x − 1). Find the area of the model.

ScanSolve AI Tutor · Accepted Answer

Ili kuchora modeli, unaweza kutumia mstatili ambapo urefu ni $(3x - 4)$ na upana ni $(x - 1)$ . Eneo la mstatili litawakilishwa na bidhaa ya vipimo hivi.

Tafuta eneo la mstatili kwa kuzidisha vipimo.
Eneo la mstatili $A$ hutolewa na formula $A = \text{urefu} \times \text{upana}$ .
Katika kesi hii, urefu ni $(3x - 4)$ na upana ni $(x - 1)$ .
$A = (3x - 4)(x - 1)$
Panua usemi kwa kutumia njia ya FOIL (First, Outer, Inner, Last) au kwa kusambaza.
$A = 3x(x) + 3x(-1) - 4(x) - 4(-1)$ $A = 3x^2 - 3x - 4x + 4$
Unganisha vigezo vinavyofanana.
$A = 3x^2 + (-3x - 4x) + 4$ $A = 3x^2 - 7x + 4$
Eneo la modeli ni:
$\text{}3x^2 - 7x + 4\text{}$

Draw a model representing the area of a rectangle with dimensions (3x - 4) by (x - 1). Find the area of the model.

Answer

Step-by-step solution

Tafuta eneo la mstatili kwa kuzidisha vipimo.

Panua usemi kwa kutumia njia ya FOIL (First, Outer, Inner, Last) au kwa kusambaza.

Unganisha vigezo vinavyofanana.

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