Question

What is the area of this figure? Enter your answer in the box. cm² A square with side lengths of 5 cm. A triangle attached to one side is split down the middle to reveal a long leg length of 4 cm.

Answer 1

The answer is 35.

Hoped I helped

Answer 2

ANSWER

$35 \: {cm}^{2}$
EXPLANATION

The figure described in the question is the one in the attachment.

The area of the square portion is

$= {l}^{2}$
where $l$ is the length of the sides of the square.

This implies the area of the square portion is

$= {5}^{2}$

$= 25 \: {cm}^{2}$

The area of the triangular portion is

$= \frac{1}{2} \times base \times height$

The base of the triangle is 5 units and the heigh is 4 units.

This implies that, area of the triangle is

$= \frac{1}{2} \times 5 \times 4$

$= 10 \: {cm}^{2}$

Putting the two areas together, we obtain,

Area of figure to be

$= 25 + 10$

$= 35 {cm}^{2}$