bryannaburton bryannaburton
  • 21-02-2021
  • Mathematics
contestada

A rectangle has length (x + 5)cm and width (x –2)cm. Its area is 60 cm 2

Respuesta :

musiclover10045
musiclover10045 musiclover10045
  • 21-02-2021

Area = length x width

60 = (x+5) (x-2)

60 = x^2 + 3x -10

Subtract 60 from both sides:

x^2 +3x -70 = 0

Solve for x by finding 2 numbers when added together = 3 and when multiplied by each other = -70

x = -10 and 7

Since the sides have to be a positive number we need to use 7

The length = x+5 = 7+5 = 12 cm

The width = x-2 = 7-2 = 5 cm

Answer Link

Otras preguntas

the hypothenus of a right angle triangle is 13cm. if one other side of the triangle is 1cm shorter than the hypothenus, calculate the third side of the triangle
simplify (1-√3)(⅓+√3) leaving your answer in the form p+q√3​
Find the area of the figure. (Sides meet at right angles.) 5 m 4 m 4 m 3 m 3 m 3 m þ m
Describe the reaction of an acid with an alkali.?​
The box plot shows the undergraduate in-state tuition per credit hour at four-year public colleges. 0 300 600 900 1,200 $1,500 a. Estimate the median. B. Estima
Define the following sequence recursively: 4, 4/3, 4/9, ....
how to do this question plz answer me step by step plzz plz plz ​
95% confidence interval
Please change the voice for me, fast. I have to submit my homework in 30 minutes. 1. He has much money to spend. 2.We must endure what we cannot cure. 3. Promis
Calculate the heat required to melt 1 g of gold at its melting point. The specific heat of fusion for gold is 64.5×103 J/kg.