We can split the shape into a square of lengths, 12*12 and a triangle of lengths, 8*12. (This shape is not to scale BTW) The area of the square is 144, and the area of the right triangle is 48, so the answer is 192 square units squared.

Another way of doing this is using the trapezoid area formula, which is
(b1 + b2)/2 * h. So 32/2 * 12 = 16*12 = 192.

4 0

3 years ago

Read 2 more answers

3(a - 4) ≤ 33 Help me solve

yaroslaw [1]

Answer:

a ≤ 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3(a - 4) ≤ 33

Step 2: Solve for a

Divide 3 on both sides: a - 4 ≤ 11
Add 4 on both sides: a ≤ 15

Here we see that any value a less than or equal to 15 would work as a solution to the inequality.

3 0

2 years ago

A number x multiplied by 4/7 is less than 12/5

morpeh [17]

Step-by-step explanation:

$a \: number \: x \: multiplied \: by \: \frac{4}{7 } \\ x \times \frac{4}{7 } \\ is \: less \: than \frac{12}{5} \\ x \times \frac{4}{7 } < \frac{12}{5} \\ multiply \: through \:b y \: the \: l.c.m \: which \: is \: 35 \\ 35 \times x \times 35 \times \frac{4}{7} < \frac{12}{5} \times 35 \\ simplify \\ 35x \times 5 \times 4 < 12 \times 7 \\ 35x \times 20 < 84 \\ 700x < 84 \\ \frac{700}{700} x < \frac{84}{700 } \\ x < \frac{84}{700} or \: 0.12$

7 0

2 years ago