A banner is composed of two congruent triangles and a rectangle.

What is the total area of the banner in square centimeters?

The total area of the banner is 290 square centimeters and this can be determined by using the formula of the area of rectangle and triangle.

Given :

A banner is composed of two congruent triangles and a rectangle.

The following steps can be used in order to determine the total area of the banner in square centimeters:

Step 1 - First determine the area of the two triangles.

Simplify the above expression.

A' = 120 sqaure centimeter

Step 2 - Now, determine the area of the rectangle.

A" = 170 square centimeter

Step 3 - Now, the total area of the banner in square centimeters is:

A = A' + A"

A = 120 + 170

A = 290 square centimeter

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We have been given that a banner is composed of two congruent triangles and a rectangle.  We are asked to find the total area of the banner.

We can see from the diagram that dimensions of rectangle are 10 cm and 17 cm. We know that area of rectangle is length times width.

We know that area of triangle is half the product of base length times height.

Therefore, the area of the banner would be 290 square cm.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

answer: it's d

step-by-step explanation: